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Finding the Fourth Proportional to 229.79, 344.16 and 196.49

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Solution

The fourth proportional to 229.79, 344.16 and 196.49 is: 294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.79 : 344.16 = 196.49 : x
  2. Step 2: Convert to fraction form
    229.79/344.16 = 196.49/x
  3. Step 3: Cross multiply
    229.79x = 344.16 × 196.49
  4. Step 4: Simplify right side
    229.79x = 67,624.86
  5. Step 5: Solve for x
    x = 67,624.86/229.79
  6. Step 6: Final answer
    x = 294.29

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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.