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Finding the Fourth Proportional to 308.67, 425.92 and 177.68

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Solution

The fourth proportional to 308.67, 425.92 and 177.68 is: 245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.67 : 425.92 = 177.68 : x
  2. Step 2: Convert to fraction form
    308.67/425.92 = 177.68/x
  3. Step 3: Cross multiply
    308.67x = 425.92 × 177.68
  4. Step 4: Simplify right side
    308.67x = 75,677.47
  5. Step 5: Solve for x
    x = 75,677.47/308.67
  6. Step 6: Final answer
    x = 245.17

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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.