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Finding the Fourth Proportional to 206.78, 284.99 and 203.94

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Solution

The fourth proportional to 206.78, 284.99 and 203.94 is: 281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.78 : 284.99 = 203.94 : x
  2. Step 2: Convert to fraction form
    206.78/284.99 = 203.94/x
  3. Step 3: Cross multiply
    206.78x = 284.99 × 203.94
  4. Step 4: Simplify right side
    206.78x = 58,119.84
  5. Step 5: Solve for x
    x = 58,119.84/206.78
  6. Step 6: Final answer
    x = 281.08

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