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Finding the Fourth Proportional to 280.12, 419.86 and 207.92

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Solution

The fourth proportional to 280.12, 419.86 and 207.92 is: 311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.12 : 419.86 = 207.92 : x
  2. Step 2: Convert to fraction form
    280.12/419.86 = 207.92/x
  3. Step 3: Cross multiply
    280.12x = 419.86 × 207.92
  4. Step 4: Simplify right side
    280.12x = 87,297.29
  5. Step 5: Solve for x
    x = 87,297.29/280.12
  6. Step 6: Final answer
    x = 311.64

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