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.
[219.424, 165.397, -69.91, -55.623, 69.373, -73.833, 66.256, 36.98, 10.214, 219.069]