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Finding the Fourth Proportional to 198.28, 296.72 and 146.78

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Solution

The fourth proportional to 198.28, 296.72 and 146.78 is: 219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.28 : 296.72 = 146.78 : x
  2. Step 2: Convert to fraction form
    198.28/296.72 = 146.78/x
  3. Step 3: Cross multiply
    198.28x = 296.72 × 146.78
  4. Step 4: Simplify right side
    198.28x = 43,552.56
  5. Step 5: Solve for x
    x = 43,552.56/198.28
  6. Step 6: Final answer
    x = 219.65

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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.