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Finding the Fourth Proportional to 648.38, 972.52 and 161.43

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Solution

The fourth proportional to 648.38, 972.52 and 161.43 is: 242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.38 : 972.52 = 161.43 : x
  2. Step 2: Convert to fraction form
    648.38/972.52 = 161.43/x
  3. Step 3: Cross multiply
    648.38x = 972.52 × 161.43
  4. Step 4: Simplify right side
    648.38x = 156,991.07
  5. Step 5: Solve for x
    x = 156,991.07/648.38
  6. Step 6: Final answer
    x = 242.13

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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.