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Finding the Fourth Proportional to 256.26, 353.55 and 167.87

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Solution

The fourth proportional to 256.26, 353.55 and 167.87 is: 231.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.26 : 353.55 = 167.87 : x
  2. Step 2: Convert to fraction form
    256.26/353.55 = 167.87/x
  3. Step 3: Cross multiply
    256.26x = 353.55 × 167.87
  4. Step 4: Simplify right side
    256.26x = 59,350.44
  5. Step 5: Solve for x
    x = 59,350.44/256.26
  6. Step 6: Final answer
    x = 231.60

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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.