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Finding the Fourth Proportional to 171.82, 257.48 and 125.96

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Solution

The fourth proportional to 171.82, 257.48 and 125.96 is: 188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.82 : 257.48 = 125.96 : x
  2. Step 2: Convert to fraction form
    171.82/257.48 = 125.96/x
  3. Step 3: Cross multiply
    171.82x = 257.48 × 125.96
  4. Step 4: Simplify right side
    171.82x = 32,430.74
  5. Step 5: Solve for x
    x = 32,430.74/171.82
  6. Step 6: Final answer
    x = 188.75

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