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Finding the Fourth Proportional to 308.91, 426.16 and 198.35

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Solution

The fourth proportional to 308.91, 426.16 and 198.35 is: 273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.91 : 426.16 = 198.35 : x
  2. Step 2: Convert to fraction form
    308.91/426.16 = 198.35/x
  3. Step 3: Cross multiply
    308.91x = 426.16 × 198.35
  4. Step 4: Simplify right side
    308.91x = 84,528.55
  5. Step 5: Solve for x
    x = 84,528.55/308.91
  6. Step 6: Final answer
    x = 273.63

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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.