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Finding the Fourth Proportional to 548.66, 822.68 and 183.24

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Solution

The fourth proportional to 548.66, 822.68 and 183.24 is: 274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.66 : 822.68 = 183.24 : x
  2. Step 2: Convert to fraction form
    548.66/822.68 = 183.24/x
  3. Step 3: Cross multiply
    548.66x = 822.68 × 183.24
  4. Step 4: Simplify right side
    548.66x = 150,747.88
  5. Step 5: Solve for x
    x = 150,747.88/548.66
  6. Step 6: Final answer
    x = 274.76

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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.