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Finding the Fourth Proportional to 166.60, 249.86 and 112.48

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Solution

The fourth proportional to 166.60, 249.86 and 112.48 is: 168.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.60 : 249.86 = 112.48 : x
  2. Step 2: Convert to fraction form
    166.60/249.86 = 112.48/x
  3. Step 3: Cross multiply
    166.60x = 249.86 × 112.48
  4. Step 4: Simplify right side
    166.60x = 28,104.25
  5. Step 5: Solve for x
    x = 28,104.25/166.60
  6. Step 6: Final answer
    x = 168.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.