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Finding the Fourth Proportional to 252.75, 348.80 and 149.25

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Solution

The fourth proportional to 252.75, 348.80 and 149.25 is: 205.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.75 : 348.80 = 149.25 : x
  2. Step 2: Convert to fraction form
    252.75/348.80 = 149.25/x
  3. Step 3: Cross multiply
    252.75x = 348.80 × 149.25
  4. Step 4: Simplify right side
    252.75x = 52,057.65
  5. Step 5: Solve for x
    x = 52,057.65/252.75
  6. Step 6: Final answer
    x = 205.97

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