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Finding the Fourth Proportional to 338.78, 467.58 and 198.96

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Solution

The fourth proportional to 338.78, 467.58 and 198.96 is: 274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.78 : 467.58 = 198.96 : x
  2. Step 2: Convert to fraction form
    338.78/467.58 = 198.96/x
  3. Step 3: Cross multiply
    338.78x = 467.58 × 198.96
  4. Step 4: Simplify right side
    338.78x = 93,029.72
  5. Step 5: Solve for x
    x = 93,029.72/338.78
  6. Step 6: Final answer
    x = 274.60

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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.