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Finding the Fourth Proportional to 244.98, 338.31 and 200.79

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Solution

The fourth proportional to 244.98, 338.31 and 200.79 is: 277.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.98 : 338.31 = 200.79 : x
  2. Step 2: Convert to fraction form
    244.98/338.31 = 200.79/x
  3. Step 3: Cross multiply
    244.98x = 338.31 × 200.79
  4. Step 4: Simplify right side
    244.98x = 67,929.26
  5. Step 5: Solve for x
    x = 67,929.26/244.98
  6. Step 6: Final answer
    x = 277.28

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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.