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Finding the Fourth Proportional to 205.83, 308.78 and 68.91

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Solution

The fourth proportional to 205.83, 308.78 and 68.91 is: 103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.83 : 308.78 = 68.91 : x
  2. Step 2: Convert to fraction form
    205.83/308.78 = 68.91/x
  3. Step 3: Cross multiply
    205.83x = 308.78 × 68.91
  4. Step 4: Simplify right side
    205.83x = 21,278.03
  5. Step 5: Solve for x
    x = 21,278.03/205.83
  6. Step 6: Final answer
    x = 103.38

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