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Finding the Fourth Proportional to 166, 249.12 and 93.84

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Solution

The fourth proportional to 166, 249.12 and 93.84 is: 140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    166 : 249.12 = 93.84 : x
  2. Step 2: Convert to fraction form
    166/249.12 = 93.84/x
  3. Step 3: Cross multiply
    166x = 249.12 × 93.84
  4. Step 4: Simplify right side
    166x = 23,377.42
  5. Step 5: Solve for x
    x = 23,377.42/166
  6. Step 6: Final answer
    x = 140.83

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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.