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Finding the Fourth Proportional to 198.24, 298.80 and 191.04

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Solution

The fourth proportional to 198.24, 298.80 and 191.04 is: 287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.24 : 298.80 = 191.04 : x
  2. Step 2: Convert to fraction form
    198.24/298.80 = 191.04/x
  3. Step 3: Cross multiply
    198.24x = 298.80 × 191.04
  4. Step 4: Simplify right side
    198.24x = 57,082.75
  5. Step 5: Solve for x
    x = 57,082.75/198.24
  6. Step 6: Final answer
    x = 287.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.