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Finding the Fourth Proportional to 168.67, 232.53 and 119.46

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Solution

The fourth proportional to 168.67, 232.53 and 119.46 is: 164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.67 : 232.53 = 119.46 : x
  2. Step 2: Convert to fraction form
    168.67/232.53 = 119.46/x
  3. Step 3: Cross multiply
    168.67x = 232.53 × 119.46
  4. Step 4: Simplify right side
    168.67x = 27,778.03
  5. Step 5: Solve for x
    x = 27,778.03/168.67
  6. Step 6: Final answer
    x = 164.69

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Why These Related Problems?

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