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Finding the Fourth Proportional to 308.05, 424.92 and 197.60

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Solution

The fourth proportional to 308.05, 424.92 and 197.60 is: 272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.05 : 424.92 = 197.60 : x
  2. Step 2: Convert to fraction form
    308.05/424.92 = 197.60/x
  3. Step 3: Cross multiply
    308.05x = 424.92 × 197.60
  4. Step 4: Simplify right side
    308.05x = 83,964.19
  5. Step 5: Solve for x
    x = 83,964.19/308.05
  6. Step 6: Final answer
    x = 272.57

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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.