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Finding the Fourth Proportional to 151.46, 227.32 and 97.18

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Solution

The fourth proportional to 151.46, 227.32 and 97.18 is: 145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.46 : 227.32 = 97.18 : x
  2. Step 2: Convert to fraction form
    151.46/227.32 = 97.18/x
  3. Step 3: Cross multiply
    151.46x = 227.32 × 97.18
  4. Step 4: Simplify right side
    151.46x = 22,090.96
  5. Step 5: Solve for x
    x = 22,090.96/151.46
  6. Step 6: Final answer
    x = 145.85

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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.