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Finding the Fourth Proportional to 308.02, 424.95 and 197.54

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Solution

The fourth proportional to 308.02, 424.95 and 197.54 is: 272.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.02 : 424.95 = 197.54 : x
  2. Step 2: Convert to fraction form
    308.02/424.95 = 197.54/x
  3. Step 3: Cross multiply
    308.02x = 424.95 × 197.54
  4. Step 4: Simplify right side
    308.02x = 83,944.62
  5. Step 5: Solve for x
    x = 83,944.62/308.02
  6. Step 6: Final answer
    x = 272.53

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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.