Since I'm the kind who likes to experiment with simulations, I made one using your specs.
Your transformer ratio can be 8:1.
Although a flyback is normally designed for a 50% duty cycle, you have some leeway to make adjustments.
The primary needs to be a certain Henry value, so that it admits sufficient current during the first half of the cycle (132 kHz).
When you apply a 60V supply, you are drawing pulses of 429 mA, at a 64% duty cycle.
When the supply is 180V, you can draw slightly fewer mA, at a shorter duty cycle.
Notice your output capacitor must carry current bursts of several A.
My schematic has a few resistors which are there so the simulator won't make convergence errors. They are unnecessary in a real circuit.