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Finding the Fourth Proportional to 548.65, 822.69 and 201.97

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Solution

The fourth proportional to 548.65, 822.69 and 201.97 is: 302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.65 : 822.69 = 201.97 : x
  2. Step 2: Convert to fraction form
    548.65/822.69 = 201.97/x
  3. Step 3: Cross multiply
    548.65x = 822.69 × 201.97
  4. Step 4: Simplify right side
    548.65x = 166,158.70
  5. Step 5: Solve for x
    x = 166,158.70/548.65
  6. Step 6: Final answer
    x = 302.85

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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.