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Finding the Fourth Proportional to 203.87, 283.23 and 201.96

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Solution

The fourth proportional to 203.87, 283.23 and 201.96 is: 280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.87 : 283.23 = 201.96 : x
  2. Step 2: Convert to fraction form
    203.87/283.23 = 201.96/x
  3. Step 3: Cross multiply
    203.87x = 283.23 × 201.96
  4. Step 4: Simplify right side
    203.87x = 57,201.13
  5. Step 5: Solve for x
    x = 57,201.13/203.87
  6. Step 6: Final answer
    x = 280.57

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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.