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Finding the Fourth Proportional to 201.53, 280.04 and 198.95

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Solution

The fourth proportional to 201.53, 280.04 and 198.95 is: 276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.53 : 280.04 = 198.95 : x
  2. Step 2: Convert to fraction form
    201.53/280.04 = 198.95/x
  3. Step 3: Cross multiply
    201.53x = 280.04 × 198.95
  4. Step 4: Simplify right side
    201.53x = 55,711.56
  5. Step 5: Solve for x
    x = 55,711.56/201.53
  6. Step 6: Final answer
    x = 276.44

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.