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Finding the Fourth Proportional to 548.54, 822.29 and 183.06

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Solution

The fourth proportional to 548.54, 822.29 and 183.06 is: 274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.54 : 822.29 = 183.06 : x
  2. Step 2: Convert to fraction form
    548.54/822.29 = 183.06/x
  3. Step 3: Cross multiply
    548.54x = 822.29 × 183.06
  4. Step 4: Simplify right side
    548.54x = 150,527.49
  5. Step 5: Solve for x
    x = 150,527.49/548.54
  6. Step 6: Final answer
    x = 274.42

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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.