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.
[209.165, 92.97, -36.224, 145.742, 80.931, -64.794, 202.114, -32.72, 233.433, -75.723]