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Finding the Fourth Proportional to 198.14, 297.21 and 195.31

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Solution

The fourth proportional to 198.14, 297.21 and 195.31 is: 292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.14 : 297.21 = 195.31 : x
  2. Step 2: Convert to fraction form
    198.14/297.21 = 195.31/x
  3. Step 3: Cross multiply
    198.14x = 297.21 × 195.31
  4. Step 4: Simplify right side
    198.14x = 58,046.60
  5. Step 5: Solve for x
    x = 58,046.60/198.14
  6. Step 6: Final answer
    x = 292.96

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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.