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Finding the Fourth Proportional to 416.78, 625.20 and 142.90

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Solution

The fourth proportional to 416.78, 625.20 and 142.90 is: 214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.78 : 625.20 = 142.90 : x
  2. Step 2: Convert to fraction form
    416.78/625.20 = 142.90/x
  3. Step 3: Cross multiply
    416.78x = 625.20 × 142.90
  4. Step 4: Simplify right side
    416.78x = 89,341.08
  5. Step 5: Solve for x
    x = 89,341.08/416.78
  6. Step 6: Final answer
    x = 214.36

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