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.
[242.363, 12.794, -65.393, 18.382, 226.16, 174.793, -95.294, 39.679, 83.888, 72.871]