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Finding the Fourth Proportional to 308.14, 425.21 and 168.25

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Solution

The fourth proportional to 308.14, 425.21 and 168.25 is: 232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.14 : 425.21 = 168.25 : x
  2. Step 2: Convert to fraction form
    308.14/425.21 = 168.25/x
  3. Step 3: Cross multiply
    308.14x = 425.21 × 168.25
  4. Step 4: Simplify right side
    308.14x = 71,540.13
  5. Step 5: Solve for x
    x = 71,540.13/308.14
  6. Step 6: Final answer
    x = 232.17

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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.