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Finding the Fourth Proportional to 198.40, 273.92 and 178.72

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Solution

The fourth proportional to 198.40, 273.92 and 178.72 is: 246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.40 : 273.92 = 178.72 : x
  2. Step 2: Convert to fraction form
    198.40/273.92 = 178.72/x
  3. Step 3: Cross multiply
    198.40x = 273.92 × 178.72
  4. Step 4: Simplify right side
    198.40x = 48,954.98
  5. Step 5: Solve for x
    x = 48,954.98/198.40
  6. Step 6: Final answer
    x = 246.75

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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.