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Finding the Fourth Proportional to 170.82, 256.86 and 129.96

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Solution

The fourth proportional to 170.82, 256.86 and 129.96 is: 195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.82 : 256.86 = 129.96 : x
  2. Step 2: Convert to fraction form
    170.82/256.86 = 129.96/x
  3. Step 3: Cross multiply
    170.82x = 256.86 × 129.96
  4. Step 4: Simplify right side
    170.82x = 33,381.53
  5. Step 5: Solve for x
    x = 33,381.53/170.82
  6. Step 6: Final answer
    x = 195.42

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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.