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Finding the Fourth Proportional to 220.25, 329.29 and 209.18

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Solution

The fourth proportional to 220.25, 329.29 and 209.18 is: 312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.25 : 329.29 = 209.18 : x
  2. Step 2: Convert to fraction form
    220.25/329.29 = 209.18/x
  3. Step 3: Cross multiply
    220.25x = 329.29 × 209.18
  4. Step 4: Simplify right side
    220.25x = 68,880.88
  5. Step 5: Solve for x
    x = 68,880.88/220.25
  6. Step 6: Final answer
    x = 312.74

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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.