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Finding the Fourth Proportional to 453.64, 680.64 and 165.12

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Solution

The fourth proportional to 453.64, 680.64 and 165.12 is: 247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.64 : 680.64 = 165.12 : x
  2. Step 2: Convert to fraction form
    453.64/680.64 = 165.12/x
  3. Step 3: Cross multiply
    453.64x = 680.64 × 165.12
  4. Step 4: Simplify right side
    453.64x = 112,387.28
  5. Step 5: Solve for x
    x = 112,387.28/453.64
  6. Step 6: Final answer
    x = 247.75

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