Given the task definition and input, reply with output. 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.

[169.776, 238.58, -86.145, -26.179, 17.923, 14.69, 76.686, 179.243, 243.986, 1.563]

[ 0.205  0.287 -0.104 -0.032  0.022  0.018  0.092  0.216  0.294  0.002]