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Finding the Fourth Proportional to 260.78, 359.84 and 144.35

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Solution

The fourth proportional to 260.78, 359.84 and 144.35 is: 199.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.78 : 359.84 = 144.35 : x
  2. Step 2: Convert to fraction form
    260.78/359.84 = 144.35/x
  3. Step 3: Cross multiply
    260.78x = 359.84 × 144.35
  4. Step 4: Simplify right side
    260.78x = 51,942.90
  5. Step 5: Solve for x
    x = 51,942.90/260.78
  6. Step 6: Final answer
    x = 199.18

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