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Finding the Fourth Proportional to 280.05, 419.85 and 142.92

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Solution

The fourth proportional to 280.05, 419.85 and 142.92 is: 214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.05 : 419.85 = 142.92 : x
  2. Step 2: Convert to fraction form
    280.05/419.85 = 142.92/x
  3. Step 3: Cross multiply
    280.05x = 419.85 × 142.92
  4. Step 4: Simplify right side
    280.05x = 60,004.96
  5. Step 5: Solve for x
    x = 60,004.96/280.05
  6. Step 6: Final answer
    x = 214.27

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