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Finding the Fourth Proportional to 332.38, 498.55 and 101.28

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Solution

The fourth proportional to 332.38, 498.55 and 101.28 is: 151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.38 : 498.55 = 101.28 : x
  2. Step 2: Convert to fraction form
    332.38/498.55 = 101.28/x
  3. Step 3: Cross multiply
    332.38x = 498.55 × 101.28
  4. Step 4: Simplify right side
    332.38x = 50,493.14
  5. Step 5: Solve for x
    x = 50,493.14/332.38
  6. Step 6: Final answer
    x = 151.91

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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.