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Finding the Fourth Proportional to 265.28, 398.10 and 200.43

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Solution

The fourth proportional to 265.28, 398.10 and 200.43 is: 300.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.28 : 398.10 = 200.43 : x
  2. Step 2: Convert to fraction form
    265.28/398.10 = 200.43/x
  3. Step 3: Cross multiply
    265.28x = 398.10 × 200.43
  4. Step 4: Simplify right side
    265.28x = 79,791.18
  5. Step 5: Solve for x
    x = 79,791.18/265.28
  6. Step 6: Final answer
    x = 300.78

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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.