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Finding the Fourth Proportional to 270.80, 406.25 and 97.48

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Solution

The fourth proportional to 270.80, 406.25 and 97.48 is: 146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.80 : 406.25 = 97.48 : x
  2. Step 2: Convert to fraction form
    270.80/406.25 = 97.48/x
  3. Step 3: Cross multiply
    270.80x = 406.25 × 97.48
  4. Step 4: Simplify right side
    270.80x = 39,601.25
  5. Step 5: Solve for x
    x = 39,601.25/270.80
  6. Step 6: Final answer
    x = 146.24

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