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Finding the Fourth Proportional to 338.56, 467.22 and 200.56

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Solution

The fourth proportional to 338.56, 467.22 and 200.56 is: 276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.56 : 467.22 = 200.56 : x
  2. Step 2: Convert to fraction form
    338.56/467.22 = 200.56/x
  3. Step 3: Cross multiply
    338.56x = 467.22 × 200.56
  4. Step 4: Simplify right side
    338.56x = 93,705.64
  5. Step 5: Solve for x
    x = 93,705.64/338.56
  6. Step 6: Final answer
    x = 276.78

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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.