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Finding the Fourth Proportional to 163.32, 224.91 and 144.78

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Solution

The fourth proportional to 163.32, 224.91 and 144.78 is: 199.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.32 : 224.91 = 144.78 : x
  2. Step 2: Convert to fraction form
    163.32/224.91 = 144.78/x
  3. Step 3: Cross multiply
    163.32x = 224.91 × 144.78
  4. Step 4: Simplify right side
    163.32x = 32,562.47
  5. Step 5: Solve for x
    x = 32,562.47/163.32
  6. Step 6: Final answer
    x = 199.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.