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Finding the Fourth Proportional to 206.48, 284.82 and 165

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Solution

The fourth proportional to 206.48, 284.82 and 165 is: 227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.48 : 284.82 = 165 : x
  2. Step 2: Convert to fraction form
    206.48/284.82 = 165/x
  3. Step 3: Cross multiply
    206.48x = 284.82 × 165
  4. Step 4: Simplify right side
    206.48x = 46,995.30
  5. Step 5: Solve for x
    x = 46,995.30/206.48
  6. Step 6: Final answer
    x = 227.60

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