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Finding the Fourth Proportional to 223.84, 336.42 and 217.78

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Solution

The fourth proportional to 223.84, 336.42 and 217.78 is: 327.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.84 : 336.42 = 217.78 : x
  2. Step 2: Convert to fraction form
    223.84/336.42 = 217.78/x
  3. Step 3: Cross multiply
    223.84x = 336.42 × 217.78
  4. Step 4: Simplify right side
    223.84x = 73,265.55
  5. Step 5: Solve for x
    x = 73,265.55/223.84
  6. Step 6: Final answer
    x = 327.31

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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.