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Finding the Fourth Proportional to 198.34, 297.46 and 76.57

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Solution

The fourth proportional to 198.34, 297.46 and 76.57 is: 114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.34 : 297.46 = 76.57 : x
  2. Step 2: Convert to fraction form
    198.34/297.46 = 76.57/x
  3. Step 3: Cross multiply
    198.34x = 297.46 × 76.57
  4. Step 4: Simplify right side
    198.34x = 22,774.83
  5. Step 5: Solve for x
    x = 22,774.83/198.34
  6. Step 6: Final answer
    x = 114.83

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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.