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Finding the Fourth Proportional to 168.06, 231.51 and 143.58

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Solution

The fourth proportional to 168.06, 231.51 and 143.58 is: 197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.06 : 231.51 = 143.58 : x
  2. Step 2: Convert to fraction form
    168.06/231.51 = 143.58/x
  3. Step 3: Cross multiply
    168.06x = 231.51 × 143.58
  4. Step 4: Simplify right side
    168.06x = 33,240.21
  5. Step 5: Solve for x
    x = 33,240.21/168.06
  6. Step 6: Final answer
    x = 197.79

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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.