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Finding the Fourth Proportional to 338.64, 467.32 and 198.78

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Solution

The fourth proportional to 338.64, 467.32 and 198.78 is: 274.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.64 : 467.32 = 198.78 : x
  2. Step 2: Convert to fraction form
    338.64/467.32 = 198.78/x
  3. Step 3: Cross multiply
    338.64x = 467.32 × 198.78
  4. Step 4: Simplify right side
    338.64x = 92,893.87
  5. Step 5: Solve for x
    x = 92,893.87/338.64
  6. Step 6: Final answer
    x = 274.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.