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Finding the Fourth Proportional to 284.14, 425.82 and 129.70

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Solution

The fourth proportional to 284.14, 425.82 and 129.70 is: 194.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.14 : 425.82 = 129.70 : x
  2. Step 2: Convert to fraction form
    284.14/425.82 = 129.70/x
  3. Step 3: Cross multiply
    284.14x = 425.82 × 129.70
  4. Step 4: Simplify right side
    284.14x = 55,229.87
  5. Step 5: Solve for x
    x = 55,229.87/284.14
  6. Step 6: Final answer
    x = 194.37

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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.