Okay, close enough.  ProSeries does weird things with rounding.  I forget which number but something must always be a multiple of 12.  Looks like it's the $10,788.

I agree with Bill, start plugging away until you get a number that's a little bit closer.  I'm not sure I would want to leave a $375 for AGI adjustment on the table.  You can usually get closer than that (but it depends on the circular math).

I'm fairly certain that plugging $366 in will result in more PTC (less repayment) making the $366 number too high.  So then maybe try $300 or $200 and keep adjusting until you don't deduct "too much".  Sounds like you have a good grasp on where the limit is, it's just a matter of convincing the software to accept your alternative "reasonable method."