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Finding the Fourth Proportional to 166.96, 249.13 and 148.69

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Solution

The fourth proportional to 166.96, 249.13 and 148.69 is: 221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.96 : 249.13 = 148.69 : x
  2. Step 2: Convert to fraction form
    166.96/249.13 = 148.69/x
  3. Step 3: Cross multiply
    166.96x = 249.13 × 148.69
  4. Step 4: Simplify right side
    166.96x = 37,043.14
  5. Step 5: Solve for x
    x = 37,043.14/166.96
  6. Step 6: Final answer
    x = 221.87

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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.