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Finding the Fourth Proportional to 548.44, 822.78 and 158.44

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Solution

The fourth proportional to 548.44, 822.78 and 158.44 is: 237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.44 : 822.78 = 158.44 : x
  2. Step 2: Convert to fraction form
    548.44/822.78 = 158.44/x
  3. Step 3: Cross multiply
    548.44x = 822.78 × 158.44
  4. Step 4: Simplify right side
    548.44x = 130,361.26
  5. Step 5: Solve for x
    x = 130,361.26/548.44
  6. Step 6: Final answer
    x = 237.69

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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.