Finding the Fourth Proportional to 261.36, 392.04 and 165.78
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Solution
The fourth proportional to 261.36, 392.04 and 165.78 is: 248.67
Step by Step Solution
- Step 1: Write the proportion equation
261.36 : 392.04 = 165.78 : x - Step 2: Convert to fraction form
261.36/392.04 = 165.78/x - Step 3: Cross multiply
261.36x = 392.04 × 165.78 - Step 4: Simplify right side
261.36x = 64,992.39 - Step 5: Solve for x
x = 64,992.39/261.36 - Step 6: Final answer
x = 248.67
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.