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.
[211.241, -80.712, 72.984, -17.184, -51.071, 48.991, -28.162, 122.037, 183.308, 171.99]