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Finding the Fourth Proportional to 171.14, 256.38 and 119.58

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Solution

The fourth proportional to 171.14, 256.38 and 119.58 is: 179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.14 : 256.38 = 119.58 : x
  2. Step 2: Convert to fraction form
    171.14/256.38 = 119.58/x
  3. Step 3: Cross multiply
    171.14x = 256.38 × 119.58
  4. Step 4: Simplify right side
    171.14x = 30,657.92
  5. Step 5: Solve for x
    x = 30,657.92/171.14
  6. Step 6: Final answer
    x = 179.14

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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.