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Finding the Fourth Proportional to 168.88, 231.20 and 164.56

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Solution

The fourth proportional to 168.88, 231.20 and 164.56 is: 225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.88 : 231.20 = 164.56 : x
  2. Step 2: Convert to fraction form
    168.88/231.20 = 164.56/x
  3. Step 3: Cross multiply
    168.88x = 231.20 × 164.56
  4. Step 4: Simplify right side
    168.88x = 38,046.27
  5. Step 5: Solve for x
    x = 38,046.27/168.88
  6. Step 6: Final answer
    x = 225.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.