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Finding the Fourth Proportional to 220.84, 329.69 and 213.22

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Solution

The fourth proportional to 220.84, 329.69 and 213.22 is: 318.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.84 : 329.69 = 213.22 : x
  2. Step 2: Convert to fraction form
    220.84/329.69 = 213.22/x
  3. Step 3: Cross multiply
    220.84x = 329.69 × 213.22
  4. Step 4: Simplify right side
    220.84x = 70,296.50
  5. Step 5: Solve for x
    x = 70,296.50/220.84
  6. Step 6: Final answer
    x = 318.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.