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Finding the Fourth Proportional to 166.46, 249.82 and 97.88

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Solution

The fourth proportional to 166.46, 249.82 and 97.88 is: 146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.46 : 249.82 = 97.88 : x
  2. Step 2: Convert to fraction form
    166.46/249.82 = 97.88/x
  3. Step 3: Cross multiply
    166.46x = 249.82 × 97.88
  4. Step 4: Simplify right side
    166.46x = 24,450.89
  5. Step 5: Solve for x
    x = 24,450.89/166.46
  6. Step 6: Final answer
    x = 146.89

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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.