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Finding the Fourth Proportional to 416.81, 625.25 and 142.83

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Solution

The fourth proportional to 416.81, 625.25 and 142.83 is: 214.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.81 : 625.25 = 142.83 : x
  2. Step 2: Convert to fraction form
    416.81/625.25 = 142.83/x
  3. Step 3: Cross multiply
    416.81x = 625.25 × 142.83
  4. Step 4: Simplify right side
    416.81x = 89,304.81
  5. Step 5: Solve for x
    x = 89,304.81/416.81
  6. Step 6: Final answer
    x = 214.26

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