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Finding the Fourth Proportional to 166.83, 249.92 and 85.73

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Solution

The fourth proportional to 166.83, 249.92 and 85.73 is: 128.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.83 : 249.92 = 85.73 : x
  2. Step 2: Convert to fraction form
    166.83/249.92 = 85.73/x
  3. Step 3: Cross multiply
    166.83x = 249.92 × 85.73
  4. Step 4: Simplify right side
    166.83x = 21,424.28
  5. Step 5: Solve for x
    x = 21,424.28/166.83
  6. Step 6: Final answer
    x = 128.42

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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.