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Finding the Fourth Proportional to 220.69, 331.08 and 105.20

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Solution

The fourth proportional to 220.69, 331.08 and 105.20 is: 157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.69 : 331.08 = 105.20 : x
  2. Step 2: Convert to fraction form
    220.69/331.08 = 105.20/x
  3. Step 3: Cross multiply
    220.69x = 331.08 × 105.20
  4. Step 4: Simplify right side
    220.69x = 34,829.62
  5. Step 5: Solve for x
    x = 34,829.62/220.69
  6. Step 6: Final answer
    x = 157.82

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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.