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Finding the Fourth Proportional to 308.62, 425.98 and 214.24

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Solution

The fourth proportional to 308.62, 425.98 and 214.24 is: 295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.62 : 425.98 = 214.24 : x
  2. Step 2: Convert to fraction form
    308.62/425.98 = 214.24/x
  3. Step 3: Cross multiply
    308.62x = 425.98 × 214.24
  4. Step 4: Simplify right side
    308.62x = 91,261.96
  5. Step 5: Solve for x
    x = 91,261.96/308.62
  6. Step 6: Final answer
    x = 295.71

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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.