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Finding the Fourth Proportional to 166.52, 249.43 and 97.83

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Solution

The fourth proportional to 166.52, 249.43 and 97.83 is: 146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.52 : 249.43 = 97.83 : x
  2. Step 2: Convert to fraction form
    166.52/249.43 = 97.83/x
  3. Step 3: Cross multiply
    166.52x = 249.43 × 97.83
  4. Step 4: Simplify right side
    166.52x = 24,400.56
  5. Step 5: Solve for x
    x = 24,400.56/166.52
  6. Step 6: Final answer
    x = 146.54

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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.