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Finding the Fourth Proportional to 548.04, 822.16 and 163.24

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Solution

The fourth proportional to 548.04, 822.16 and 163.24 is: 244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.04 : 822.16 = 163.24 : x
  2. Step 2: Convert to fraction form
    548.04/822.16 = 163.24/x
  3. Step 3: Cross multiply
    548.04x = 822.16 × 163.24
  4. Step 4: Simplify right side
    548.04x = 134,209.40
  5. Step 5: Solve for x
    x = 134,209.40/548.04
  6. Step 6: Final answer
    x = 244.89

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Why These Related Problems?

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