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Finding the Fourth Proportional to 163.98, 224.91 and 144.54

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Solution

The fourth proportional to 163.98, 224.91 and 144.54 is: 198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.98 : 224.91 = 144.54 : x
  2. Step 2: Convert to fraction form
    163.98/224.91 = 144.54/x
  3. Step 3: Cross multiply
    163.98x = 224.91 × 144.54
  4. Step 4: Simplify right side
    163.98x = 32,508.49
  5. Step 5: Solve for x
    x = 32,508.49/163.98
  6. Step 6: Final answer
    x = 198.25

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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.