In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.
[194.636, 220.288, 143.752, 248.447, 84.877, 149.316, 115.179, -31.472, 101.946, -27.917]