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Finding the Fourth Proportional to 166.12, 249.28 and 97.78

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Solution

The fourth proportional to 166.12, 249.28 and 97.78 is: 146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.12 : 249.28 = 97.78 : x
  2. Step 2: Convert to fraction form
    166.12/249.28 = 97.78/x
  3. Step 3: Cross multiply
    166.12x = 249.28 × 97.78
  4. Step 4: Simplify right side
    166.12x = 24,374.60
  5. Step 5: Solve for x
    x = 24,374.60/166.12
  6. Step 6: Final answer
    x = 146.73

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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.