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Finding the Fourth Proportional to 548.90, 822.83 and 183.44

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Solution

The fourth proportional to 548.90, 822.83 and 183.44 is: 274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.90 : 822.83 = 183.44 : x
  2. Step 2: Convert to fraction form
    548.90/822.83 = 183.44/x
  3. Step 3: Cross multiply
    548.90x = 822.83 × 183.44
  4. Step 4: Simplify right side
    548.90x = 150,935.82
  5. Step 5: Solve for x
    x = 150,935.82/548.90
  6. Step 6: Final answer
    x = 274.98

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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.