1. **State the problem:** Calculate the value of the expression $$ (200\% \times 0.2) + (172\% \times 0.1) + (169\% \times 0.15) + (200\% \times 0.3) + (0\% \times 0.25) $$ and express the result as a percentage. 2. **Convert percentages to decimals:** Recall that $$ x\% = \frac{x}{100} $$ so we convert each percentage to decimal form: $$ 200\% = \frac{200}{100} = 2 $$ $$ 172\% = \frac{172}{100} = 1.72 $$ $$ 169\% = \frac{169}{100} = 1.69 $$ $$ 0\% = 0 $$ 3. **Substitute decimals into the expression:** $$ (2 \times 0.2) + (1.72 \times 0.1) + (1.69 \times 0.15) + (2 \times 0.3) + (0 \times 0.25) $$ 4. **Calculate each term:** $$ 2 \times 0.2 = 0.4 $$ $$ 1.72 \times 0.1 = 0.172 $$ $$ 1.69 \times 0.15 = 0.2535 $$ $$ 2 \times 0.3 = 0.6 $$ $$ 0 \times 0.25 = 0 $$ 5. **Sum all terms:** $$ 0.4 + 0.172 + 0.2535 + 0.6 + 0 = 1.4255 $$ 6. **Convert the result back to percentage:** $$ 1.4255 = 142.55\% $$ **Final answer:** The solution is **142.55%**.