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Finding the Fourth Proportional to 308.17, 425.15 and 197.62

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Solution

The fourth proportional to 308.17, 425.15 and 197.62 is: 272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.17 : 425.15 = 197.62 : x
  2. Step 2: Convert to fraction form
    308.17/425.15 = 197.62/x
  3. Step 3: Cross multiply
    308.17x = 425.15 × 197.62
  4. Step 4: Simplify right side
    308.17x = 84,018.14
  5. Step 5: Solve for x
    x = 84,018.14/308.17
  6. Step 6: Final answer
    x = 272.64

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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.