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Finding the Fourth Proportional to 381.53, 572.31 and 165.13

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Solution

The fourth proportional to 381.53, 572.31 and 165.13 is: 247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.53 : 572.31 = 165.13 : x
  2. Step 2: Convert to fraction form
    381.53/572.31 = 165.13/x
  3. Step 3: Cross multiply
    381.53x = 572.31 × 165.13
  4. Step 4: Simplify right side
    381.53x = 94,505.55
  5. Step 5: Solve for x
    x = 94,505.55/381.53
  6. Step 6: Final answer
    x = 247.70

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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.