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Finding the Fourth Proportional to 455.31, 682.97 and 166.75

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Solution

The fourth proportional to 455.31, 682.97 and 166.75 is: 250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.31 : 682.97 = 166.75 : x
  2. Step 2: Convert to fraction form
    455.31/682.97 = 166.75/x
  3. Step 3: Cross multiply
    455.31x = 682.97 × 166.75
  4. Step 4: Simplify right side
    455.31x = 113,885.25
  5. Step 5: Solve for x
    x = 113,885.25/455.31
  6. Step 6: Final answer
    x = 250.13

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