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Finding the Fourth Proportional to 252.78, 349.17 and 200.67

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Solution

The fourth proportional to 252.78, 349.17 and 200.67 is: 277.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.78 : 349.17 = 200.67 : x
  2. Step 2: Convert to fraction form
    252.78/349.17 = 200.67/x
  3. Step 3: Cross multiply
    252.78x = 349.17 × 200.67
  4. Step 4: Simplify right side
    252.78x = 70,067.94
  5. Step 5: Solve for x
    x = 70,067.94/252.78
  6. Step 6: Final answer
    x = 277.19

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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.