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Finding the Fourth Proportional to 220.82, 331.65 and 206.24

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Solution

The fourth proportional to 220.82, 331.65 and 206.24 is: 309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.82 : 331.65 = 206.24 : x
  2. Step 2: Convert to fraction form
    220.82/331.65 = 206.24/x
  3. Step 3: Cross multiply
    220.82x = 331.65 × 206.24
  4. Step 4: Simplify right side
    220.82x = 68,399.50
  5. Step 5: Solve for x
    x = 68,399.50/220.82
  6. Step 6: Final answer
    x = 309.75

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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.