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Finding the Fourth Proportional to 170.97, 257.38 and 132.66

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Solution

The fourth proportional to 170.97, 257.38 and 132.66 is: 199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.97 : 257.38 = 132.66 : x
  2. Step 2: Convert to fraction form
    170.97/257.38 = 132.66/x
  3. Step 3: Cross multiply
    170.97x = 257.38 × 132.66
  4. Step 4: Simplify right side
    170.97x = 34,144.03
  5. Step 5: Solve for x
    x = 34,144.03/170.97
  6. Step 6: Final answer
    x = 199.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.