Food waste, paper waste and plastic waste have typical densities of $280 \mathrm{~kg} / \mathrm{m}^{3}, 80 \mathrm{~kg} / \mathrm{m}^{3}$, and $50 \mathrm{~kg} / \mathrm{m}^{3}$, respectively. The mixed waste is composed of $70 \%$ food waste, $20 \%$ paper waste and $10 \%$ plastic waste. The density of the mixed waste is __________ $\mathrm{kg} / \mathrm{m}^{3}$ $\text{(rounded off to $2$ decimal places)}$.
Neglect compaction effect.
