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.
[35.301, 12.344, -25.306, 163.569, 148.832, 176.067, 117.787, 92.25, 70.698, 245.358]