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Finding the Fourth Proportional to 548.33, 822.22 and 201.65

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Solution

The fourth proportional to 548.33, 822.22 and 201.65 is: 302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.33 : 822.22 = 201.65 : x
  2. Step 2: Convert to fraction form
    548.33/822.22 = 201.65/x
  3. Step 3: Cross multiply
    548.33x = 822.22 × 201.65
  4. Step 4: Simplify right side
    548.33x = 165,796.05
  5. Step 5: Solve for x
    x = 165,796.05/548.33
  6. Step 6: Final answer
    x = 302.37

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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.