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Finding the Fourth Proportional to 198.30, 297.17 and 106.82

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Solution

The fourth proportional to 198.30, 297.17 and 106.82 is: 160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.30 : 297.17 = 106.82 : x
  2. Step 2: Convert to fraction form
    198.30/297.17 = 106.82/x
  3. Step 3: Cross multiply
    198.30x = 297.17 × 106.82
  4. Step 4: Simplify right side
    198.30x = 31,743.19
  5. Step 5: Solve for x
    x = 31,743.19/198.30
  6. Step 6: Final answer
    x = 160.08

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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.