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Finding the Fourth Proportional to 456.92, 685.24 and 182.80

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Solution

The fourth proportional to 456.92, 685.24 and 182.80 is: 274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.92 : 685.24 = 182.80 : x
  2. Step 2: Convert to fraction form
    456.92/685.24 = 182.80/x
  3. Step 3: Cross multiply
    456.92x = 685.24 × 182.80
  4. Step 4: Simplify right side
    456.92x = 125,261.87
  5. Step 5: Solve for x
    x = 125,261.87/456.92
  6. Step 6: Final answer
    x = 274.14

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