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Finding the Fourth Proportional to 166.83, 250.31 and 89.83

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Solution

The fourth proportional to 166.83, 250.31 and 89.83 is: 134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.83 : 250.31 = 89.83 : x
  2. Step 2: Convert to fraction form
    166.83/250.31 = 89.83/x
  3. Step 3: Cross multiply
    166.83x = 250.31 × 89.83
  4. Step 4: Simplify right side
    166.83x = 22,485.35
  5. Step 5: Solve for x
    x = 22,485.35/166.83
  6. Step 6: Final answer
    x = 134.78

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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.