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Finding the Fourth Proportional to 166.71, 249.86 and 75.39

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Solution

The fourth proportional to 166.71, 249.86 and 75.39 is: 112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.71 : 249.86 = 75.39 : x
  2. Step 2: Convert to fraction form
    166.71/249.86 = 75.39/x
  3. Step 3: Cross multiply
    166.71x = 249.86 × 75.39
  4. Step 4: Simplify right side
    166.71x = 18,836.57
  5. Step 5: Solve for x
    x = 18,836.57/166.71
  6. Step 6: Final answer
    x = 112.99

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Why These Related Problems?

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