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Finding the Fourth Proportional to 252.70, 349.09 and 200.59

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Solution

The fourth proportional to 252.70, 349.09 and 200.59 is: 277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.70 : 349.09 = 200.59 : x
  2. Step 2: Convert to fraction form
    252.70/349.09 = 200.59/x
  3. Step 3: Cross multiply
    252.70x = 349.09 × 200.59
  4. Step 4: Simplify right side
    252.70x = 70,023.96
  5. Step 5: Solve for x
    x = 70,023.96/252.70
  6. Step 6: Final answer
    x = 277.10

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