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Finding the Fourth Proportional to 198.13, 297.11 and 68.10

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Solution

The fourth proportional to 198.13, 297.11 and 68.10 is: 102.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.13 : 297.11 = 68.10 : x
  2. Step 2: Convert to fraction form
    198.13/297.11 = 68.10/x
  3. Step 3: Cross multiply
    198.13x = 297.11 × 68.10
  4. Step 4: Simplify right side
    198.13x = 20,233.18
  5. Step 5: Solve for x
    x = 20,233.18/198.13
  6. Step 6: Final answer
    x = 102.12

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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.