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Finding the Fourth Proportional to 284.13, 426.20 and 113.13

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Solution

The fourth proportional to 284.13, 426.20 and 113.13 is: 169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.13 : 426.20 = 113.13 : x
  2. Step 2: Convert to fraction form
    284.13/426.20 = 113.13/x
  3. Step 3: Cross multiply
    284.13x = 426.20 × 113.13
  4. Step 4: Simplify right side
    284.13x = 48,213.31
  5. Step 5: Solve for x
    x = 48,213.31/284.13
  6. Step 6: Final answer
    x = 169.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.