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Finding the Fourth Proportional to 244.21, 365.31 and 200.39

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Solution

The fourth proportional to 244.21, 365.31 and 200.39 is: 299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.21 : 365.31 = 200.39 : x
  2. Step 2: Convert to fraction form
    244.21/365.31 = 200.39/x
  3. Step 3: Cross multiply
    244.21x = 365.31 × 200.39
  4. Step 4: Simplify right side
    244.21x = 73,202.62
  5. Step 5: Solve for x
    x = 73,202.62/244.21
  6. Step 6: Final answer
    x = 299.75

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Why These Related Problems?

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