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Finding the Fourth Proportional to 261, 391.50 and 165.42

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Solution

The fourth proportional to 261, 391.50 and 165.42 is: 248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261 : 391.50 = 165.42 : x
  2. Step 2: Convert to fraction form
    261/391.50 = 165.42/x
  3. Step 3: Cross multiply
    261x = 391.50 × 165.42
  4. Step 4: Simplify right side
    261x = 64,761.93
  5. Step 5: Solve for x
    x = 64,761.93/261
  6. Step 6: Final answer
    x = 248.13

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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.