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Finding the Fourth Proportional to 548.08, 822.10 and 137.21

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Solution

The fourth proportional to 548.08, 822.10 and 137.21 is: 205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.08 : 822.10 = 137.21 : x
  2. Step 2: Convert to fraction form
    548.08/822.10 = 137.21/x
  3. Step 3: Cross multiply
    548.08x = 822.10 × 137.21
  4. Step 4: Simplify right side
    548.08x = 112,800.34
  5. Step 5: Solve for x
    x = 112,800.34/548.08
  6. Step 6: Final answer
    x = 205.81

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