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Finding the Fourth Proportional to 223.84, 334.96 and 196.34

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Solution

The fourth proportional to 223.84, 334.96 and 196.34 is: 293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.84 : 334.96 = 196.34 : x
  2. Step 2: Convert to fraction form
    223.84/334.96 = 196.34/x
  3. Step 3: Cross multiply
    223.84x = 334.96 × 196.34
  4. Step 4: Simplify right side
    223.84x = 65,766.05
  5. Step 5: Solve for x
    x = 65,766.05/223.84
  6. Step 6: Final answer
    x = 293.81

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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.