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.
[237.824, 233.285, 223.369, 143.876, 118.428, 45.485, 220.048, 177.821, 160.009, 109.675]