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Finding the Fourth Proportional to 548.33, 822.61 and 201.66

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Solution

The fourth proportional to 548.33, 822.61 and 201.66 is: 302.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.33 : 822.61 = 201.66 : x
  2. Step 2: Convert to fraction form
    548.33/822.61 = 201.66/x
  3. Step 3: Cross multiply
    548.33x = 822.61 × 201.66
  4. Step 4: Simplify right side
    548.33x = 165,885.27
  5. Step 5: Solve for x
    x = 165,885.27/548.33
  6. Step 6: Final answer
    x = 302.53

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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.