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Finding the Fourth Proportional to 198.10, 296.93 and 82.54

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Solution

The fourth proportional to 198.10, 296.93 and 82.54 is: 123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.10 : 296.93 = 82.54 : x
  2. Step 2: Convert to fraction form
    198.10/296.93 = 82.54/x
  3. Step 3: Cross multiply
    198.10x = 296.93 × 82.54
  4. Step 4: Simplify right side
    198.10x = 24,508.60
  5. Step 5: Solve for x
    x = 24,508.60/198.10
  6. Step 6: Final answer
    x = 123.72

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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.