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Finding the Fourth Proportional to 166.59, 249.90 and 112.47

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Solution

The fourth proportional to 166.59, 249.90 and 112.47 is: 168.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.59 : 249.90 = 112.47 : x
  2. Step 2: Convert to fraction form
    166.59/249.90 = 112.47/x
  3. Step 3: Cross multiply
    166.59x = 249.90 × 112.47
  4. Step 4: Simplify right side
    166.59x = 28,106.25
  5. Step 5: Solve for x
    x = 28,106.25/166.59
  6. Step 6: Final answer
    x = 168.72

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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.