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Finding the Fourth Proportional to 284.13, 425.87 and 137.96

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Solution

The fourth proportional to 284.13, 425.87 and 137.96 is: 206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.13 : 425.87 = 137.96 : x
  2. Step 2: Convert to fraction form
    284.13/425.87 = 137.96/x
  3. Step 3: Cross multiply
    284.13x = 425.87 × 137.96
  4. Step 4: Simplify right side
    284.13x = 58,752.31
  5. Step 5: Solve for x
    x = 58,752.31/284.13
  6. Step 6: Final answer
    x = 206.78

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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.