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Finding the Fourth Proportional to 168.25, 231.77 and 143.28

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Solution

The fourth proportional to 168.25, 231.77 and 143.28 is: 197.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.25 : 231.77 = 143.28 : x
  2. Step 2: Convert to fraction form
    168.25/231.77 = 143.28/x
  3. Step 3: Cross multiply
    168.25x = 231.77 × 143.28
  4. Step 4: Simplify right side
    168.25x = 33,207.20
  5. Step 5: Solve for x
    x = 33,207.20/168.25
  6. Step 6: Final answer
    x = 197.37

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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.