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Finding the Fourth Proportional to 168.67, 254.23 and 140.32

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Solution

The fourth proportional to 168.67, 254.23 and 140.32 is: 211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.67 : 254.23 = 140.32 : x
  2. Step 2: Convert to fraction form
    168.67/254.23 = 140.32/x
  3. Step 3: Cross multiply
    168.67x = 254.23 × 140.32
  4. Step 4: Simplify right side
    168.67x = 35,673.55
  5. Step 5: Solve for x
    x = 35,673.55/168.67
  6. Step 6: Final answer
    x = 211.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.