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Finding the Fourth Proportional to 338.99, 467.84 and 206.18

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Solution

The fourth proportional to 338.99, 467.84 and 206.18 is: 284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.99 : 467.84 = 206.18 : x
  2. Step 2: Convert to fraction form
    338.99/467.84 = 206.18/x
  3. Step 3: Cross multiply
    338.99x = 467.84 × 206.18
  4. Step 4: Simplify right side
    338.99x = 96,459.25
  5. Step 5: Solve for x
    x = 96,459.25/338.99
  6. Step 6: Final answer
    x = 284.55

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