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Finding the Fourth Proportional to 220.47, 329.00 and 191.31

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Solution

The fourth proportional to 220.47, 329.00 and 191.31 is: 285.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.47 : 329.00 = 191.31 : x
  2. Step 2: Convert to fraction form
    220.47/329.00 = 191.31/x
  3. Step 3: Cross multiply
    220.47x = 329.00 × 191.31
  4. Step 4: Simplify right side
    220.47x = 62,940.03
  5. Step 5: Solve for x
    x = 62,940.03/220.47
  6. Step 6: Final answer
    x = 285.48

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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.