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.
[5.521, 140.017, 56.833, -17.666, -68.164, 191.11, 234.258, 170.514, 46.058, 174.276]