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Finding the Fourth Proportional to 244.62, 366.84 and 199.26

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Solution

The fourth proportional to 244.62, 366.84 and 199.26 is: 298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.62 : 366.84 = 199.26 : x
  2. Step 2: Convert to fraction form
    244.62/366.84 = 199.26/x
  3. Step 3: Cross multiply
    244.62x = 366.84 × 199.26
  4. Step 4: Simplify right side
    244.62x = 73,096.54
  5. Step 5: Solve for x
    x = 73,096.54/244.62
  6. Step 6: Final answer
    x = 298.82

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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.