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Finding the Fourth Proportional to 169.91, 255.94 and 167.78

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Solution

The fourth proportional to 169.91, 255.94 and 167.78 is: 252.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.91 : 255.94 = 167.78 : x
  2. Step 2: Convert to fraction form
    169.91/255.94 = 167.78/x
  3. Step 3: Cross multiply
    169.91x = 255.94 × 167.78
  4. Step 4: Simplify right side
    169.91x = 42,939.49
  5. Step 5: Solve for x
    x = 42,939.49/169.91
  6. Step 6: Final answer
    x = 252.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.