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Finding the Fourth Proportional to 308.75, 425.93 and 198.20

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Solution

The fourth proportional to 308.75, 425.93 and 198.20 is: 273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.75 : 425.93 = 198.20 : x
  2. Step 2: Convert to fraction form
    308.75/425.93 = 198.20/x
  3. Step 3: Cross multiply
    308.75x = 425.93 × 198.20
  4. Step 4: Simplify right side
    308.75x = 84,416.21
  5. Step 5: Solve for x
    x = 84,416.21/308.75
  6. Step 6: Final answer
    x = 273.42

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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.