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Finding the Fourth Proportional to 548.18, 822.43 and 201.62

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Solution

The fourth proportional to 548.18, 822.43 and 201.62 is: 302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.18 : 822.43 = 201.62 : x
  2. Step 2: Convert to fraction form
    548.18/822.43 = 201.62/x
  3. Step 3: Cross multiply
    548.18x = 822.43 × 201.62
  4. Step 4: Simplify right side
    548.18x = 165,818.34
  5. Step 5: Solve for x
    x = 165,818.34/548.18
  6. Step 6: Final answer
    x = 302.49

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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.