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Finding the Fourth Proportional to 166.86, 249.08 and 142.56

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Solution

The fourth proportional to 166.86, 249.08 and 142.56 is: 212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.86 : 249.08 = 142.56 : x
  2. Step 2: Convert to fraction form
    166.86/249.08 = 142.56/x
  3. Step 3: Cross multiply
    166.86x = 249.08 × 142.56
  4. Step 4: Simplify right side
    166.86x = 35,508.13
  5. Step 5: Solve for x
    x = 35,508.13/166.86
  6. Step 6: Final answer
    x = 212.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.