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Finding the Fourth Proportional to 338.82, 467.60 and 199

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Solution

The fourth proportional to 338.82, 467.60 and 199 is: 274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.82 : 467.60 = 199 : x
  2. Step 2: Convert to fraction form
    338.82/467.60 = 199/x
  3. Step 3: Cross multiply
    338.82x = 467.60 × 199
  4. Step 4: Simplify right side
    338.82x = 93,052.40
  5. Step 5: Solve for x
    x = 93,052.40/338.82
  6. Step 6: Final answer
    x = 274.64

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