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Finding the Fourth Proportional to 308.98, 426.45 and 178.03

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Solution

The fourth proportional to 308.98, 426.45 and 178.03 is: 245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.98 : 426.45 = 178.03 : x
  2. Step 2: Convert to fraction form
    308.98/426.45 = 178.03/x
  3. Step 3: Cross multiply
    308.98x = 426.45 × 178.03
  4. Step 4: Simplify right side
    308.98x = 75,920.89
  5. Step 5: Solve for x
    x = 75,920.89/308.98
  6. Step 6: Final answer
    x = 245.71

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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.