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Finding the Fourth Proportional to 171.46, 255.15 and 167.59

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Solution

The fourth proportional to 171.46, 255.15 and 167.59 is: 249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.46 : 255.15 = 167.59 : x
  2. Step 2: Convert to fraction form
    171.46/255.15 = 167.59/x
  3. Step 3: Cross multiply
    171.46x = 255.15 × 167.59
  4. Step 4: Simplify right side
    171.46x = 42,760.59
  5. Step 5: Solve for x
    x = 42,760.59/171.46
  6. Step 6: Final answer
    x = 249.39

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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.