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Finding the Fourth Proportional to 268.38, 402.22 and 199.35

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Solution

The fourth proportional to 268.38, 402.22 and 199.35 is: 298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.38 : 402.22 = 199.35 : x
  2. Step 2: Convert to fraction form
    268.38/402.22 = 199.35/x
  3. Step 3: Cross multiply
    268.38x = 402.22 × 199.35
  4. Step 4: Simplify right side
    268.38x = 80,182.56
  5. Step 5: Solve for x
    x = 80,182.56/268.38
  6. Step 6: Final answer
    x = 298.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.