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Finding the Fourth Proportional to 244.92, 338.21 and 198.55

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Solution

The fourth proportional to 244.92, 338.21 and 198.55 is: 274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.92 : 338.21 = 198.55 : x
  2. Step 2: Convert to fraction form
    244.92/338.21 = 198.55/x
  3. Step 3: Cross multiply
    244.92x = 338.21 × 198.55
  4. Step 4: Simplify right side
    244.92x = 67,151.77
  5. Step 5: Solve for x
    x = 67,151.77/244.92
  6. Step 6: Final answer
    x = 274.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.