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Finding the Fourth Proportional to 198.34, 297.62 and 107.03

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Solution

The fourth proportional to 198.34, 297.62 and 107.03 is: 160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.34 : 297.62 = 107.03 : x
  2. Step 2: Convert to fraction form
    198.34/297.62 = 107.03/x
  3. Step 3: Cross multiply
    198.34x = 297.62 × 107.03
  4. Step 4: Simplify right side
    198.34x = 31,854.27
  5. Step 5: Solve for x
    x = 31,854.27/198.34
  6. Step 6: Final answer
    x = 160.60

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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.