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Finding the Fourth Proportional to 296, 408.46 and 165.01

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Solution

The fourth proportional to 296, 408.46 and 165.01 is: 227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296 : 408.46 = 165.01 : x
  2. Step 2: Convert to fraction form
    296/408.46 = 165.01/x
  3. Step 3: Cross multiply
    296x = 408.46 × 165.01
  4. Step 4: Simplify right side
    296x = 67,399.98
  5. Step 5: Solve for x
    x = 67,399.98/296
  6. Step 6: Final answer
    x = 227.70

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