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Finding the Fourth Proportional to 198.38, 298.49 and 180.46

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Solution

The fourth proportional to 198.38, 298.49 and 180.46 is: 271.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.38 : 298.49 = 180.46 : x
  2. Step 2: Convert to fraction form
    198.38/298.49 = 180.46/x
  3. Step 3: Cross multiply
    198.38x = 298.49 × 180.46
  4. Step 4: Simplify right side
    198.38x = 53,864.98
  5. Step 5: Solve for x
    x = 53,864.98/198.38
  6. Step 6: Final answer
    x = 271.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.