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Finding the Fourth Proportional to 263.12, 394.40 and 206

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Solution

The fourth proportional to 263.12, 394.40 and 206 is: 308.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.12 : 394.40 = 206 : x
  2. Step 2: Convert to fraction form
    263.12/394.40 = 206/x
  3. Step 3: Cross multiply
    263.12x = 394.40 × 206
  4. Step 4: Simplify right side
    263.12x = 81,246.40
  5. Step 5: Solve for x
    x = 81,246.40/263.12
  6. Step 6: Final answer
    x = 308.78

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