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Finding the Fourth Proportional to 169.91, 254.86 and 166.87

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Solution

The fourth proportional to 169.91, 254.86 and 166.87 is: 250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.91 : 254.86 = 166.87 : x
  2. Step 2: Convert to fraction form
    169.91/254.86 = 166.87/x
  3. Step 3: Cross multiply
    169.91x = 254.86 × 166.87
  4. Step 4: Simplify right side
    169.91x = 42,527.43
  5. Step 5: Solve for x
    x = 42,527.43/169.91
  6. Step 6: Final answer
    x = 250.30

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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.