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Finding the Fourth Proportional to 252.80, 349.12 and 209.44

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Solution

The fourth proportional to 252.80, 349.12 and 209.44 is: 289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.80 : 349.12 = 209.44 : x
  2. Step 2: Convert to fraction form
    252.80/349.12 = 209.44/x
  3. Step 3: Cross multiply
    252.80x = 349.12 × 209.44
  4. Step 4: Simplify right side
    252.80x = 73,119.69
  5. Step 5: Solve for x
    x = 73,119.69/252.80
  6. Step 6: Final answer
    x = 289.24

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