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Finding the Fourth Proportional to 453.57, 680.46 and 165

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Solution

The fourth proportional to 453.57, 680.46 and 165 is: 247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.57 : 680.46 = 165 : x
  2. Step 2: Convert to fraction form
    453.57/680.46 = 165/x
  3. Step 3: Cross multiply
    453.57x = 680.46 × 165
  4. Step 4: Simplify right side
    453.57x = 112,275.90
  5. Step 5: Solve for x
    x = 112,275.90/453.57
  6. Step 6: Final answer
    x = 247.54

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