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Finding the Fourth Proportional to 284.20, 426.33 and 91.78

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Solution

The fourth proportional to 284.20, 426.33 and 91.78 is: 137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.20 : 426.33 = 91.78 : x
  2. Step 2: Convert to fraction form
    284.20/426.33 = 91.78/x
  3. Step 3: Cross multiply
    284.20x = 426.33 × 91.78
  4. Step 4: Simplify right side
    284.20x = 39,128.57
  5. Step 5: Solve for x
    x = 39,128.57/284.20
  6. Step 6: Final answer
    x = 137.68

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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.