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Finding the Fourth Proportional to 198.34, 297.16 and 106.76

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Solution

The fourth proportional to 198.34, 297.16 and 106.76 is: 159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.34 : 297.16 = 106.76 : x
  2. Step 2: Convert to fraction form
    198.34/297.16 = 106.76/x
  3. Step 3: Cross multiply
    198.34x = 297.16 × 106.76
  4. Step 4: Simplify right side
    198.34x = 31,724.80
  5. Step 5: Solve for x
    x = 31,724.80/198.34
  6. Step 6: Final answer
    x = 159.95

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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.