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Finding the Fourth Proportional to 296.01, 408.45 and 165

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Solution

The fourth proportional to 296.01, 408.45 and 165 is: 227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.01 : 408.45 = 165 : x
  2. Step 2: Convert to fraction form
    296.01/408.45 = 165/x
  3. Step 3: Cross multiply
    296.01x = 408.45 × 165
  4. Step 4: Simplify right side
    296.01x = 67,394.25
  5. Step 5: Solve for x
    x = 67,394.25/296.01
  6. Step 6: Final answer
    x = 227.68

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