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Finding the Fourth Proportional to 280.05, 420.37 and 198.64

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Solution

The fourth proportional to 280.05, 420.37 and 198.64 is: 298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.05 : 420.37 = 198.64 : x
  2. Step 2: Convert to fraction form
    280.05/420.37 = 198.64/x
  3. Step 3: Cross multiply
    280.05x = 420.37 × 198.64
  4. Step 4: Simplify right side
    280.05x = 83,502.30
  5. Step 5: Solve for x
    x = 83,502.30/280.05
  6. Step 6: Final answer
    x = 298.17

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