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Finding the Fourth Proportional to 458.06, 686.95 and 133.31

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Solution

The fourth proportional to 458.06, 686.95 and 133.31 is: 199.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.06 : 686.95 = 133.31 : x
  2. Step 2: Convert to fraction form
    458.06/686.95 = 133.31/x
  3. Step 3: Cross multiply
    458.06x = 686.95 × 133.31
  4. Step 4: Simplify right side
    458.06x = 91,578.69
  5. Step 5: Solve for x
    x = 91,578.69/458.06
  6. Step 6: Final answer
    x = 199.93

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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.