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Finding the Fourth Proportional to 548.92, 823.44 and 183.82

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Solution

The fourth proportional to 548.92, 823.44 and 183.82 is: 275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.92 : 823.44 = 183.82 : x
  2. Step 2: Convert to fraction form
    548.92/823.44 = 183.82/x
  3. Step 3: Cross multiply
    548.92x = 823.44 × 183.82
  4. Step 4: Simplify right side
    548.92x = 151,364.74
  5. Step 5: Solve for x
    x = 151,364.74/548.92
  6. Step 6: Final answer
    x = 275.75

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