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Finding the Fourth Proportional to 220.46, 304.25 and 122.23

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Solution

The fourth proportional to 220.46, 304.25 and 122.23 is: 168.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.46 : 304.25 = 122.23 : x
  2. Step 2: Convert to fraction form
    220.46/304.25 = 122.23/x
  3. Step 3: Cross multiply
    220.46x = 304.25 × 122.23
  4. Step 4: Simplify right side
    220.46x = 37,188.48
  5. Step 5: Solve for x
    x = 37,188.48/220.46
  6. Step 6: Final answer
    x = 168.69

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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.