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Finding the Fourth Proportional to 458.90, 688.26 and 134.19

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Solution

The fourth proportional to 458.90, 688.26 and 134.19 is: 201.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.90 : 688.26 = 134.19 : x
  2. Step 2: Convert to fraction form
    458.90/688.26 = 134.19/x
  3. Step 3: Cross multiply
    458.90x = 688.26 × 134.19
  4. Step 4: Simplify right side
    458.90x = 92,357.61
  5. Step 5: Solve for x
    x = 92,357.61/458.90
  6. Step 6: Final answer
    x = 201.26

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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.