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Finding the Fourth Proportional to 548.44, 822.78 and 178.28

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Solution

The fourth proportional to 548.44, 822.78 and 178.28 is: 267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.44 : 822.78 = 178.28 : x
  2. Step 2: Convert to fraction form
    548.44/822.78 = 178.28/x
  3. Step 3: Cross multiply
    548.44x = 822.78 × 178.28
  4. Step 4: Simplify right side
    548.44x = 146,685.22
  5. Step 5: Solve for x
    x = 146,685.22/548.44
  6. Step 6: Final answer
    x = 267.46

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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.