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Finding the Fourth Proportional to 252.82, 348.33 and 200.35

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Solution

The fourth proportional to 252.82, 348.33 and 200.35 is: 276.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.82 : 348.33 = 200.35 : x
  2. Step 2: Convert to fraction form
    252.82/348.33 = 200.35/x
  3. Step 3: Cross multiply
    252.82x = 348.33 × 200.35
  4. Step 4: Simplify right side
    252.82x = 69,787.92
  5. Step 5: Solve for x
    x = 69,787.92/252.82
  6. Step 6: Final answer
    x = 276.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.