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Finding the Fourth Proportional to 381.69, 572.58 and 138.24

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Solution

The fourth proportional to 381.69, 572.58 and 138.24 is: 207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.69 : 572.58 = 138.24 : x
  2. Step 2: Convert to fraction form
    381.69/572.58 = 138.24/x
  3. Step 3: Cross multiply
    381.69x = 572.58 × 138.24
  4. Step 4: Simplify right side
    381.69x = 79,153.46
  5. Step 5: Solve for x
    x = 79,153.46/381.69
  6. Step 6: Final answer
    x = 207.38

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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.