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Finding the Fourth Proportional to 220.91, 330.99 and 111.08

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Solution

The fourth proportional to 220.91, 330.99 and 111.08 is: 166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.91 : 330.99 = 111.08 : x
  2. Step 2: Convert to fraction form
    220.91/330.99 = 111.08/x
  3. Step 3: Cross multiply
    220.91x = 330.99 × 111.08
  4. Step 4: Simplify right side
    220.91x = 36,766.37
  5. Step 5: Solve for x
    x = 36,766.37/220.91
  6. Step 6: Final answer
    x = 166.43

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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.