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Finding the Fourth Proportional to 402.80, 604.20 and 142.78

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Solution

The fourth proportional to 402.80, 604.20 and 142.78 is: 214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.80 : 604.20 = 142.78 : x
  2. Step 2: Convert to fraction form
    402.80/604.20 = 142.78/x
  3. Step 3: Cross multiply
    402.80x = 604.20 × 142.78
  4. Step 4: Simplify right side
    402.80x = 86,267.68
  5. Step 5: Solve for x
    x = 86,267.68/402.80
  6. Step 6: Final answer
    x = 214.17

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