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Finding the Fourth Proportional to 332.60, 498.86 and 89.14

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Solution

The fourth proportional to 332.60, 498.86 and 89.14 is: 133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.60 : 498.86 = 89.14 : x
  2. Step 2: Convert to fraction form
    332.60/498.86 = 89.14/x
  3. Step 3: Cross multiply
    332.60x = 498.86 × 89.14
  4. Step 4: Simplify right side
    332.60x = 44,468.38
  5. Step 5: Solve for x
    x = 44,468.38/332.60
  6. Step 6: Final answer
    x = 133.70

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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.