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Finding the Fourth Proportional to 458.74, 688.05 and 134.14

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Solution

The fourth proportional to 458.74, 688.05 and 134.14 is: 201.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.74 : 688.05 = 134.14 : x
  2. Step 2: Convert to fraction form
    458.74/688.05 = 134.14/x
  3. Step 3: Cross multiply
    458.74x = 688.05 × 134.14
  4. Step 4: Simplify right side
    458.74x = 92,295.03
  5. Step 5: Solve for x
    x = 92,295.03/458.74
  6. Step 6: Final answer
    x = 201.19

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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.