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Finding the Fourth Proportional to 220.28, 303.78 and 168.44

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Solution

The fourth proportional to 220.28, 303.78 and 168.44 is: 232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.28 : 303.78 = 168.44 : x
  2. Step 2: Convert to fraction form
    220.28/303.78 = 168.44/x
  3. Step 3: Cross multiply
    220.28x = 303.78 × 168.44
  4. Step 4: Simplify right side
    220.28x = 51,168.70
  5. Step 5: Solve for x
    x = 51,168.70/220.28
  6. Step 6: Final answer
    x = 232.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.