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Finding the Fourth Proportional to 219.69, 331.47 and 217.26

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Solution

The fourth proportional to 219.69, 331.47 and 217.26 is: 327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.69 : 331.47 = 217.26 : x
  2. Step 2: Convert to fraction form
    219.69/331.47 = 217.26/x
  3. Step 3: Cross multiply
    219.69x = 331.47 × 217.26
  4. Step 4: Simplify right side
    219.69x = 72,015.17
  5. Step 5: Solve for x
    x = 72,015.17/219.69
  6. Step 6: Final answer
    x = 327.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.