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Finding the Fourth Proportional to 166.43, 249.91 and 85.43

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Solution

The fourth proportional to 166.43, 249.91 and 85.43 is: 128.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.43 : 249.91 = 85.43 : x
  2. Step 2: Convert to fraction form
    166.43/249.91 = 85.43/x
  3. Step 3: Cross multiply
    166.43x = 249.91 × 85.43
  4. Step 4: Simplify right side
    166.43x = 21,348.35
  5. Step 5: Solve for x
    x = 21,348.35/166.43
  6. Step 6: Final answer
    x = 128.28

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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.