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Finding the Fourth Proportional to 151.18, 226.51 and 82.60

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Solution

The fourth proportional to 151.18, 226.51 and 82.60 is: 123.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.18 : 226.51 = 82.60 : x
  2. Step 2: Convert to fraction form
    151.18/226.51 = 82.60/x
  3. Step 3: Cross multiply
    151.18x = 226.51 × 82.60
  4. Step 4: Simplify right side
    151.18x = 18,709.73
  5. Step 5: Solve for x
    x = 18,709.73/151.18
  6. Step 6: Final answer
    x = 123.76

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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.