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Finding the Fourth Proportional to 167.37, 252.32 and 140.48

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Solution

The fourth proportional to 167.37, 252.32 and 140.48 is: 211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.37 : 252.32 = 140.48 : x
  2. Step 2: Convert to fraction form
    167.37/252.32 = 140.48/x
  3. Step 3: Cross multiply
    167.37x = 252.32 × 140.48
  4. Step 4: Simplify right side
    167.37x = 35,446.32
  5. Step 5: Solve for x
    x = 35,446.32/167.37
  6. Step 6: Final answer
    x = 211.79

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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.