Battery life depends greatly on use. 238 charge cycles in 5 months by most standards is pretty high. More importantly if your following the guidelines Apple has published for their battery use are you getting usage times that are in line with their estimates? Coconut battery isn't always accurate, its best to trust the built-in tools for diagnostic information.
You can also check System Information (Lion) or System Profiler (10.6) under power to get an idea of the stats on the battery. Double check to see what your Full Charge Capacity and the Charge Cycles are.
Any Apple Store or Authorized Service Provider can run diagnostics on the battery as stated by Wheat Williams. If it is faulty it's covered by your one year limited warranty.
Also check for run away processes you can check Activity Monitor, these could be draining the battery faster and driving up charge cycles.
http://support.apple.com/kb/TS1473
Does the real-world battery life scale linearly with it's capacity?
No, because it also depends on current draw. If you have a 10 watt hour battery, and you pull 10 watts from it, you will likely get less than 1 hour of time due to losses inside the battery.
If you instead pull 1 watt from it, you'll get closer to 10 hours of usage, because the losses are not as good at lower current draws.
As batteries age the losses become worse. The internal damage that occurs over time due to the charge/discharge cycle causes additional internal cell resistance. So a new battery will give you more of its rated capacity (and use less internally during use) than an old battery. The old battery will give you less of its rated capacity (and consume more internally than the new battery) than a new battery would.
Is this number a reliable indicator of present and future battery life?
It's an estimate, and now that the battery has higher internal losses it will depend much more greatly on how much power you're drawing. If you're using the processor and graphics chipset at capacity, then add wireless, bright screen, etc on top of that you probably won't be able to use the entire measured capacity.
Therefore it's not reliable, as it depends on your actual usage scenario.
If, instead, you've got it playing itunes with the lid closed, it will use a larger percentage of that capacity before it indicates depletion.
What kind of realistic usage am I likely to get from a new battery under Lion?
Unfortunately you're trying to compare Lion's consumption with your previous OS consumption. I can't answer that question, and even if I had the same model and recently changed the battery I have a different use case, so my experience wouldn't necessarily apply to use.
I can tell you that often one battery will degenerate more than the others in multi cell pack, and if discharged under controlled conditions you can get the full capacity of each individual cell, but under heavy discharge the bad cell is a weak link, and the whole battery pack will shut down prior to depleting the other good cells.
This means that there are several good reasons to replace your battery, and the most likely outcome is significantly increased battery life.
However there's no way to guarantee that due to your individual circumstances and usage. The tools you're using are ok, but without removing and testing each cell individually under a few different discharge conditions you can't know fully how the battery will compare to new batteries. So the tools can't be counted on to give you more than a rough estimate.
If I were in your situation, though, I'd expect to get approximately the same life out of a new battery under Lion as I got out of the new battery under the previous OS. The difference might be slightly greater, but still minimal.
Best Answer
As per this wikipedia article,
Basically, even if you are not charging or discharging your Mac battery at all, it will still lose 1-2% of its capacity every month (on average). You stated your battery age as 7.2 months, and your original battery capacity as 6960 mAh. (Side note: anyone else can find out their battery capacity, original capacity, and battery age with this tool.) Assuming it discharged 1% a month while in storage for 7 months, that means your battery could have lost 487 mAh while in storage. So, it is perfectly reasonable for your 7 month old battery to have lost 350mAh.
It is a little frustrating to have a somewhat old battery when you have purchased a new computer, but that's just how it goes. Li-ion batteries last well for about 4-5 years, so 7 months isn't too long on that scale. You will probably need to replace your Mac's battery (or get a new computer) in 2021. So, you have plenty of time to enjoy your new Mac before things even start to go downhill. But yes, that small battery discharge is normal; remember that it occurred over 7 months, not 3 days.