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Finding the Fourth Proportional to 548.36, 822.62 and 163.64

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Solution

The fourth proportional to 548.36, 822.62 and 163.64 is: 245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.36 : 822.62 = 163.64 : x
  2. Step 2: Convert to fraction form
    548.36/822.62 = 163.64/x
  3. Step 3: Cross multiply
    548.36x = 822.62 × 163.64
  4. Step 4: Simplify right side
    548.36x = 134,613.54
  5. Step 5: Solve for x
    x = 134,613.54/548.36
  6. Step 6: Final answer
    x = 245.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.