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Finding the Fourth Proportional to 280.82, 421.24 and 200.02

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Solution

The fourth proportional to 280.82, 421.24 and 200.02 is: 300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.82 : 421.24 = 200.02 : x
  2. Step 2: Convert to fraction form
    280.82/421.24 = 200.02/x
  3. Step 3: Cross multiply
    280.82x = 421.24 × 200.02
  4. Step 4: Simplify right side
    280.82x = 84,256.42
  5. Step 5: Solve for x
    x = 84,256.42/280.82
  6. Step 6: Final answer
    x = 300.04

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