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Finding the Fourth Proportional to 338.96, 467.85 and 199.09

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Solution

The fourth proportional to 338.96, 467.85 and 199.09 is: 274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.96 : 467.85 = 199.09 : x
  2. Step 2: Convert to fraction form
    338.96/467.85 = 199.09/x
  3. Step 3: Cross multiply
    338.96x = 467.85 × 199.09
  4. Step 4: Simplify right side
    338.96x = 93,140.92
  5. Step 5: Solve for x
    x = 93,140.92/338.96
  6. Step 6: Final answer
    x = 274.78

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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.