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Finding the Fourth Proportional to 284.20, 426 and 137.86

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Solution

The fourth proportional to 284.20, 426 and 137.86 is: 206.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.20 : 426 = 137.86 : x
  2. Step 2: Convert to fraction form
    284.20/426 = 137.86/x
  3. Step 3: Cross multiply
    284.20x = 426 × 137.86
  4. Step 4: Simplify right side
    284.20x = 58,728.36
  5. Step 5: Solve for x
    x = 58,728.36/284.20
  6. Step 6: Final answer
    x = 206.64

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