Suppose you have a portfolio that has $$90$ in stock A with a beta of $0\mathrm{.}84,$$$360$ in stock B with a beta of $1\mathrm{.}14,$ and $$270$ in the risk$-$free asset. You have another $$180$ to invest. You wish to achieve a beta for your whole portfolio to be the same as the market beta.

What is the beta of the added security? $($Round intermediate calculations and the final answer to $3$ decimal places, e$.$g$.2\mathrm{.}361.)$

Beta