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.
[177.132, 7.119, 79.729, 112.631, 205.154, -36.726, -47.747, -41.587, 210.477, 237.237]