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Finding the Fourth Proportional to 220.40, 330.61 and 92.06

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Solution

The fourth proportional to 220.40, 330.61 and 92.06 is: 138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.40 : 330.61 = 92.06 : x
  2. Step 2: Convert to fraction form
    220.40/330.61 = 92.06/x
  3. Step 3: Cross multiply
    220.40x = 330.61 × 92.06
  4. Step 4: Simplify right side
    220.40x = 30,435.96
  5. Step 5: Solve for x
    x = 30,435.96/220.40
  6. Step 6: Final answer
    x = 138.09

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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.