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Finding the Fourth Proportional to 171.78, 257.58 and 113.96

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Solution

The fourth proportional to 171.78, 257.58 and 113.96 is: 170.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.78 : 257.58 = 113.96 : x
  2. Step 2: Convert to fraction form
    171.78/257.58 = 113.96/x
  3. Step 3: Cross multiply
    171.78x = 257.58 × 113.96
  4. Step 4: Simplify right side
    171.78x = 29,353.25
  5. Step 5: Solve for x
    x = 29,353.25/171.78
  6. Step 6: Final answer
    x = 170.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.