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Finding the Fourth Proportional to 198.80, 297.83 and 116.34

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Solution

The fourth proportional to 198.80, 297.83 and 116.34 is: 174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.80 : 297.83 = 116.34 : x
  2. Step 2: Convert to fraction form
    198.80/297.83 = 116.34/x
  3. Step 3: Cross multiply
    198.80x = 297.83 × 116.34
  4. Step 4: Simplify right side
    198.80x = 34,648.06
  5. Step 5: Solve for x
    x = 34,648.06/198.80
  6. Step 6: Final answer
    x = 174.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.