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Finding the Fourth Proportional to 167.87, 230.39 and 163.32

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Solution

The fourth proportional to 167.87, 230.39 and 163.32 is: 224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.87 : 230.39 = 163.32 : x
  2. Step 2: Convert to fraction form
    167.87/230.39 = 163.32/x
  3. Step 3: Cross multiply
    167.87x = 230.39 × 163.32
  4. Step 4: Simplify right side
    167.87x = 37,627.15
  5. Step 5: Solve for x
    x = 37,627.15/167.87
  6. Step 6: Final answer
    x = 224.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.