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Finding the Fourth Proportional to 381.56, 572.49 and 138.24

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Solution

The fourth proportional to 381.56, 572.49 and 138.24 is: 207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.56 : 572.49 = 138.24 : x
  2. Step 2: Convert to fraction form
    381.56/572.49 = 138.24/x
  3. Step 3: Cross multiply
    381.56x = 572.49 × 138.24
  4. Step 4: Simplify right side
    381.56x = 79,141.02
  5. Step 5: Solve for x
    x = 79,141.02/381.56
  6. Step 6: Final answer
    x = 207.42

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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.