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Finding the Fourth Proportional to 308.80, 426.06 and 177.78

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Solution

The fourth proportional to 308.80, 426.06 and 177.78 is: 245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.80 : 426.06 = 177.78 : x
  2. Step 2: Convert to fraction form
    308.80/426.06 = 177.78/x
  3. Step 3: Cross multiply
    308.80x = 426.06 × 177.78
  4. Step 4: Simplify right side
    308.80x = 75,744.95
  5. Step 5: Solve for x
    x = 75,744.95/308.80
  6. Step 6: Final answer
    x = 245.29

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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.