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Finding the Fourth Proportional to 284.16, 426.08 and 208

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Solution

The fourth proportional to 284.16, 426.08 and 208 is: 311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.16 : 426.08 = 208 : x
  2. Step 2: Convert to fraction form
    284.16/426.08 = 208/x
  3. Step 3: Cross multiply
    284.16x = 426.08 × 208
  4. Step 4: Simplify right side
    284.16x = 88,624.64
  5. Step 5: Solve for x
    x = 88,624.64/284.16
  6. Step 6: Final answer
    x = 311.88

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