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Finding the Fourth Proportional to 198.10, 296.92 and 106.75

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Solution

The fourth proportional to 198.10, 296.92 and 106.75 is: 160.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.10 : 296.92 = 106.75 : x
  2. Step 2: Convert to fraction form
    198.10/296.92 = 106.75/x
  3. Step 3: Cross multiply
    198.10x = 296.92 × 106.75
  4. Step 4: Simplify right side
    198.10x = 31,696.21
  5. Step 5: Solve for x
    x = 31,696.21/198.10
  6. Step 6: Final answer
    x = 160.00

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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.