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Finding the Fourth Proportional to 408.65, 612.97 and 165.11

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Solution

The fourth proportional to 408.65, 612.97 and 165.11 is: 247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.65 : 612.97 = 165.11 : x
  2. Step 2: Convert to fraction form
    408.65/612.97 = 165.11/x
  3. Step 3: Cross multiply
    408.65x = 612.97 × 165.11
  4. Step 4: Simplify right side
    408.65x = 101,207.48
  5. Step 5: Solve for x
    x = 101,207.48/408.65
  6. Step 6: Final answer
    x = 247.66

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