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Finding the Fourth Proportional to 220.50, 331.52 and 206.24

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Solution

The fourth proportional to 220.50, 331.52 and 206.24 is: 310.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.50 : 331.52 = 206.24 : x
  2. Step 2: Convert to fraction form
    220.50/331.52 = 206.24/x
  3. Step 3: Cross multiply
    220.50x = 331.52 × 206.24
  4. Step 4: Simplify right side
    220.50x = 68,370.00
  5. Step 5: Solve for x
    x = 68,370.00/220.50
  6. Step 6: Final answer
    x = 310.07

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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.