To solve the equation [tex]\(\frac{90}{23}\)[/tex] of [tex]\(33 \frac{1}{3} \%\)[/tex] of [tex]\(207 - ? = \frac{7}{15}\)[/tex] of [tex]\(495\)[/tex], let's go through the steps one by one.
Step 1: Calculate each part separately
1. Calculate [tex]\(\frac{90}{23}\)[/tex]:
[tex]\[
\frac{90}{23} \approx 3.9130434782608696
\][/tex]
2. Convert [tex]\(33 \frac{1}{3}\%\)[/tex] into a decimal:
[tex]\[
33 \frac{1}{3}\% = 33.333333333333336\%
\][/tex]
Converting percent to a fraction:
[tex]\[
33.333333333333336\% = \frac{33.333333333333336}{100} = 0.33333333333333336
\][/tex]
3. Calculate [tex]\(33 \frac{1}{3}\%\)[/tex] of 207:
[tex]\[
207 \times 0.33333333333333336 \approx 69.00000000000001
\][/tex]
4. Calculate [tex]\(\frac{90}{23} \times (33 \frac{1}{3} \%) \times 207\)[/tex]:
[tex]\[
3.9130434782608696 \times 69.00000000000001 \approx 270.00000000000006
\][/tex]
5. Calculate [tex]\(\frac{7}{15} \times 495\)[/tex]:
[tex]\[
\frac{7}{15} \times 495 = 0.4666666666666667 \times 495 = 231.0
\][/tex]
Step 2: Set up the equation:
[tex]\[
207 - ? = 231.0
\][/tex]
Step 3: Solve for the unknown (?):
[tex]\[
? = 207 - 231.0 = -24.0
\][/tex]
Final Answer:
The unknown value that satisfies the equation [tex]\(\frac{90}{23}\)[/tex] of [tex]\(33 \frac{1}{3} \%\)[/tex] of [tex]\(207 - ? = \frac{7}{15}\)[/tex] of 495 is [tex]\(-24.0\)[/tex].
