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Finding the Fourth Proportional to 458.18, 687.42 and 165.68

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Solution

The fourth proportional to 458.18, 687.42 and 165.68 is: 248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.18 : 687.42 = 165.68 : x
  2. Step 2: Convert to fraction form
    458.18/687.42 = 165.68/x
  3. Step 3: Cross multiply
    458.18x = 687.42 × 165.68
  4. Step 4: Simplify right side
    458.18x = 113,891.75
  5. Step 5: Solve for x
    x = 113,891.75/458.18
  6. Step 6: Final answer
    x = 248.57

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