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Finding the Fourth Proportional to 168.86, 231.16 and 165.62

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Solution

The fourth proportional to 168.86, 231.16 and 165.62 is: 226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.86 : 231.16 = 165.62 : x
  2. Step 2: Convert to fraction form
    168.86/231.16 = 165.62/x
  3. Step 3: Cross multiply
    168.86x = 231.16 × 165.62
  4. Step 4: Simplify right side
    168.86x = 38,284.72
  5. Step 5: Solve for x
    x = 38,284.72/168.86
  6. Step 6: Final answer
    x = 226.72

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Why These Related Problems?

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