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Finding the Fourth Proportional to 169.50, 252.98 and 167.66

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Solution

The fourth proportional to 169.50, 252.98 and 167.66 is: 250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.50 : 252.98 = 167.66 : x
  2. Step 2: Convert to fraction form
    169.50/252.98 = 167.66/x
  3. Step 3: Cross multiply
    169.50x = 252.98 × 167.66
  4. Step 4: Simplify right side
    169.50x = 42,414.63
  5. Step 5: Solve for x
    x = 42,414.63/169.50
  6. Step 6: Final answer
    x = 250.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.