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Finding the Fourth Proportional to 166.44, 249.60 and 75.18

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Solution

The fourth proportional to 166.44, 249.60 and 75.18 is: 112.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.44 : 249.60 = 75.18 : x
  2. Step 2: Convert to fraction form
    166.44/249.60 = 75.18/x
  3. Step 3: Cross multiply
    166.44x = 249.60 × 75.18
  4. Step 4: Simplify right side
    166.44x = 18,764.93
  5. Step 5: Solve for x
    x = 18,764.93/166.44
  6. Step 6: Final answer
    x = 112.74

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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.