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Finding the Fourth Proportional to 416.76, 625.02 and 142.80

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Solution

The fourth proportional to 416.76, 625.02 and 142.80 is: 214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.76 : 625.02 = 142.80 : x
  2. Step 2: Convert to fraction form
    416.76/625.02 = 142.80/x
  3. Step 3: Cross multiply
    416.76x = 625.02 × 142.80
  4. Step 4: Simplify right side
    416.76x = 89,252.86
  5. Step 5: Solve for x
    x = 89,252.86/416.76
  6. Step 6: Final answer
    x = 214.16

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