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Finding the Fourth Proportional to 220.56, 304.34 and 122.32

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Solution

The fourth proportional to 220.56, 304.34 and 122.32 is: 168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.56 : 304.34 = 122.32 : x
  2. Step 2: Convert to fraction form
    220.56/304.34 = 122.32/x
  3. Step 3: Cross multiply
    220.56x = 304.34 × 122.32
  4. Step 4: Simplify right side
    220.56x = 37,226.87
  5. Step 5: Solve for x
    x = 37,226.87/220.56
  6. Step 6: Final answer
    x = 168.78

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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.