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Finding the Fourth Proportional to 168.26, 231.59 and 160.97

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Solution

The fourth proportional to 168.26, 231.59 and 160.97 is: 221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.26 : 231.59 = 160.97 : x
  2. Step 2: Convert to fraction form
    168.26/231.59 = 160.97/x
  3. Step 3: Cross multiply
    168.26x = 231.59 × 160.97
  4. Step 4: Simplify right side
    168.26x = 37,278.29
  5. Step 5: Solve for x
    x = 37,278.29/168.26
  6. Step 6: Final answer
    x = 221.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.