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Finding the Fourth Proportional to 308.97, 426.42 and 178.02

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Solution

The fourth proportional to 308.97, 426.42 and 178.02 is: 245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.97 : 426.42 = 178.02 : x
  2. Step 2: Convert to fraction form
    308.97/426.42 = 178.02/x
  3. Step 3: Cross multiply
    308.97x = 426.42 × 178.02
  4. Step 4: Simplify right side
    308.97x = 75,911.29
  5. Step 5: Solve for x
    x = 75,911.29/308.97
  6. Step 6: Final answer
    x = 245.69

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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.