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Finding the Fourth Proportional to 167.44, 249.89 and 163.12

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Solution

The fourth proportional to 167.44, 249.89 and 163.12 is: 243.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.44 : 249.89 = 163.12 : x
  2. Step 2: Convert to fraction form
    167.44/249.89 = 163.12/x
  3. Step 3: Cross multiply
    167.44x = 249.89 × 163.12
  4. Step 4: Simplify right side
    167.44x = 40,762.06
  5. Step 5: Solve for x
    x = 40,762.06/167.44
  6. Step 6: Final answer
    x = 243.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.