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Finding the Fourth Proportional to 255.97, 353.13 and 167.41

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Solution

The fourth proportional to 255.97, 353.13 and 167.41 is: 230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.97 : 353.13 = 167.41 : x
  2. Step 2: Convert to fraction form
    255.97/353.13 = 167.41/x
  3. Step 3: Cross multiply
    255.97x = 353.13 × 167.41
  4. Step 4: Simplify right side
    255.97x = 59,116.66
  5. Step 5: Solve for x
    x = 59,116.66/255.97
  6. Step 6: Final answer
    x = 230.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.