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Finding the Fourth Proportional to 308.54, 425.78 and 177.57

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Solution

The fourth proportional to 308.54, 425.78 and 177.57 is: 245.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.54 : 425.78 = 177.57 : x
  2. Step 2: Convert to fraction form
    308.54/425.78 = 177.57/x
  3. Step 3: Cross multiply
    308.54x = 425.78 × 177.57
  4. Step 4: Simplify right side
    308.54x = 75,604.87
  5. Step 5: Solve for x
    x = 75,604.87/308.54
  6. Step 6: Final answer
    x = 245.04

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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.