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Finding the Fourth Proportional to 308.05, 425.09 and 197.56

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Solution

The fourth proportional to 308.05, 425.09 and 197.56 is: 272.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.05 : 425.09 = 197.56 : x
  2. Step 2: Convert to fraction form
    308.05/425.09 = 197.56/x
  3. Step 3: Cross multiply
    308.05x = 425.09 × 197.56
  4. Step 4: Simplify right side
    308.05x = 83,980.78
  5. Step 5: Solve for x
    x = 83,980.78/308.05
  6. Step 6: Final answer
    x = 272.62

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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.