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Finding the Fourth Proportional to 169.20, 232.16 and 163.44

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Solution

The fourth proportional to 169.20, 232.16 and 163.44 is: 224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.20 : 232.16 = 163.44 : x
  2. Step 2: Convert to fraction form
    169.20/232.16 = 163.44/x
  3. Step 3: Cross multiply
    169.20x = 232.16 × 163.44
  4. Step 4: Simplify right side
    169.20x = 37,943.41
  5. Step 5: Solve for x
    x = 37,943.41/169.20
  6. Step 6: Final answer
    x = 224.25

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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.