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Finding the Fourth Proportional to 220.82, 331.02 and 111.06

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Solution

The fourth proportional to 220.82, 331.02 and 111.06 is: 166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.82 : 331.02 = 111.06 : x
  2. Step 2: Convert to fraction form
    220.82/331.02 = 111.06/x
  3. Step 3: Cross multiply
    220.82x = 331.02 × 111.06
  4. Step 4: Simplify right side
    220.82x = 36,763.08
  5. Step 5: Solve for x
    x = 36,763.08/220.82
  6. Step 6: Final answer
    x = 166.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.