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Finding the Fourth Proportional to 206.73, 285.84 and 180.79

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Solution

The fourth proportional to 206.73, 285.84 and 180.79 is: 249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.73 : 285.84 = 180.79 : x
  2. Step 2: Convert to fraction form
    206.73/285.84 = 180.79/x
  3. Step 3: Cross multiply
    206.73x = 285.84 × 180.79
  4. Step 4: Simplify right side
    206.73x = 51,677.01
  5. Step 5: Solve for x
    x = 51,677.01/206.73
  6. Step 6: Final answer
    x = 249.97

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