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Finding the Fourth Proportional to 140.23, 209.94 and 96.80

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Solution

The fourth proportional to 140.23, 209.94 and 96.80 is: 144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.23 : 209.94 = 96.80 : x
  2. Step 2: Convert to fraction form
    140.23/209.94 = 96.80/x
  3. Step 3: Cross multiply
    140.23x = 209.94 × 96.80
  4. Step 4: Simplify right side
    140.23x = 20,321.32
  5. Step 5: Solve for x
    x = 20,321.32/140.23
  6. Step 6: Final answer
    x = 144.91

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