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Finding the Fourth Proportional to 243.79, 366.08 and 224.04

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Solution

The fourth proportional to 243.79, 366.08 and 224.04 is: 336.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.79 : 366.08 = 224.04 : x
  2. Step 2: Convert to fraction form
    243.79/366.08 = 224.04/x
  3. Step 3: Cross multiply
    243.79x = 366.08 × 224.04
  4. Step 4: Simplify right side
    243.79x = 82,016.56
  5. Step 5: Solve for x
    x = 82,016.56/243.79
  6. Step 6: Final answer
    x = 336.42

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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.