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Finding the Fourth Proportional to 260.78, 391.25 and 138.95

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Solution

The fourth proportional to 260.78, 391.25 and 138.95 is: 208.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.78 : 391.25 = 138.95 : x
  2. Step 2: Convert to fraction form
    260.78/391.25 = 138.95/x
  3. Step 3: Cross multiply
    260.78x = 391.25 × 138.95
  4. Step 4: Simplify right side
    260.78x = 54,364.19
  5. Step 5: Solve for x
    x = 54,364.19/260.78
  6. Step 6: Final answer
    x = 208.47

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