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Finding the Fourth Proportional to 308.41, 425.79 and 198.04

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Solution

The fourth proportional to 308.41, 425.79 and 198.04 is: 273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.41 : 425.79 = 198.04 : x
  2. Step 2: Convert to fraction form
    308.41/425.79 = 198.04/x
  3. Step 3: Cross multiply
    308.41x = 425.79 × 198.04
  4. Step 4: Simplify right side
    308.41x = 84,322.39
  5. Step 5: Solve for x
    x = 84,322.39/308.41
  6. Step 6: Final answer
    x = 273.41

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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.