$$\frac{1}{{10}}$$ of a rod is coloured red, $$\frac{1}{{20}}$$ orange, $$\frac{1}{{30}}$$ yellow, $$\frac{1}{{40}}$$ green, $$\frac{1}{{50}}$$ blue, $$\frac{1}{{60}}$$ black and the rest is violet. If the length of the violet part of the rod is 12.08 mtr, then the length of the rod is -