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Finding the Fourth Proportional to 198.76, 296.24 and 198.46

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Solution

The fourth proportional to 198.76, 296.24 and 198.46 is: 295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.76 : 296.24 = 198.46 : x
  2. Step 2: Convert to fraction form
    198.76/296.24 = 198.46/x
  3. Step 3: Cross multiply
    198.76x = 296.24 × 198.46
  4. Step 4: Simplify right side
    198.76x = 58,790.31
  5. Step 5: Solve for x
    x = 58,790.31/198.76
  6. Step 6: Final answer
    x = 295.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.