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Finding the Fourth Proportional to 198.42, 297.18 and 106.95

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Solution

The fourth proportional to 198.42, 297.18 and 106.95 is: 160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.42 : 297.18 = 106.95 : x
  2. Step 2: Convert to fraction form
    198.42/297.18 = 106.95/x
  3. Step 3: Cross multiply
    198.42x = 297.18 × 106.95
  4. Step 4: Simplify right side
    198.42x = 31,783.40
  5. Step 5: Solve for x
    x = 31,783.40/198.42
  6. Step 6: Final answer
    x = 160.18

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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.