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Finding the Fourth Proportional to 381.87, 527.19 and 251.10

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Solution

The fourth proportional to 381.87, 527.19 and 251.10 is: 346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.87 : 527.19 = 251.10 : x
  2. Step 2: Convert to fraction form
    381.87/527.19 = 251.10/x
  3. Step 3: Cross multiply
    381.87x = 527.19 × 251.10
  4. Step 4: Simplify right side
    381.87x = 132,377.41
  5. Step 5: Solve for x
    x = 132,377.41/381.87
  6. Step 6: Final answer
    x = 346.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.