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Finding the Fourth Proportional to 201.96, 301.19 and 198.99

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Solution

The fourth proportional to 201.96, 301.19 and 198.99 is: 296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.96 : 301.19 = 198.99 : x
  2. Step 2: Convert to fraction form
    201.96/301.19 = 198.99/x
  3. Step 3: Cross multiply
    201.96x = 301.19 × 198.99
  4. Step 4: Simplify right side
    201.96x = 59,932.80
  5. Step 5: Solve for x
    x = 59,932.80/201.96
  6. Step 6: Final answer
    x = 296.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.