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Finding the Fourth Proportional to 381.64, 572.52 and 138.20

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Solution

The fourth proportional to 381.64, 572.52 and 138.20 is: 207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.64 : 572.52 = 138.20 : x
  2. Step 2: Convert to fraction form
    381.64/572.52 = 138.20/x
  3. Step 3: Cross multiply
    381.64x = 572.52 × 138.20
  4. Step 4: Simplify right side
    381.64x = 79,122.26
  5. Step 5: Solve for x
    x = 79,122.26/381.64
  6. Step 6: Final answer
    x = 207.32

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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.