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Finding the Fourth Proportional to 198.24, 272.96 and 179.79

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Solution

The fourth proportional to 198.24, 272.96 and 179.79 is: 247.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.24 : 272.96 = 179.79 : x
  2. Step 2: Convert to fraction form
    198.24/272.96 = 179.79/x
  3. Step 3: Cross multiply
    198.24x = 272.96 × 179.79
  4. Step 4: Simplify right side
    198.24x = 49,074.58
  5. Step 5: Solve for x
    x = 49,074.58/198.24
  6. Step 6: Final answer
    x = 247.55

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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.