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Finding the Fourth Proportional to 220.34, 304.05 and 122.09

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Solution

The fourth proportional to 220.34, 304.05 and 122.09 is: 168.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.34 : 304.05 = 122.09 : x
  2. Step 2: Convert to fraction form
    220.34/304.05 = 122.09/x
  3. Step 3: Cross multiply
    220.34x = 304.05 × 122.09
  4. Step 4: Simplify right side
    220.34x = 37,121.46
  5. Step 5: Solve for x
    x = 37,121.46/220.34
  6. Step 6: Final answer
    x = 168.47

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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.