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Finding the Fourth Proportional to 151.87, 227.25 and 83.46

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Solution

The fourth proportional to 151.87, 227.25 and 83.46 is: 124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.87 : 227.25 = 83.46 : x
  2. Step 2: Convert to fraction form
    151.87/227.25 = 83.46/x
  3. Step 3: Cross multiply
    151.87x = 227.25 × 83.46
  4. Step 4: Simplify right side
    151.87x = 18,965.87
  5. Step 5: Solve for x
    x = 18,965.87/151.87
  6. Step 6: Final answer
    x = 124.88

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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.