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Finding the Fourth Proportional to 220.49, 304.41 and 167.94

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Solution

The fourth proportional to 220.49, 304.41 and 167.94 is: 231.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.49 : 304.41 = 167.94 : x
  2. Step 2: Convert to fraction form
    220.49/304.41 = 167.94/x
  3. Step 3: Cross multiply
    220.49x = 304.41 × 167.94
  4. Step 4: Simplify right side
    220.49x = 51,122.30
  5. Step 5: Solve for x
    x = 51,122.30/220.49
  6. Step 6: Final answer
    x = 231.86

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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.