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.
[153.133, -31.416, 223.372, 35.919, 17.848, 15.937, 197.856, 132.652, -29.473, 209.057]