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Finding the Fourth Proportional to 308.23, 425.41 and 214.92

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Solution

The fourth proportional to 308.23, 425.41 and 214.92 is: 296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.23 : 425.41 = 214.92 : x
  2. Step 2: Convert to fraction form
    308.23/425.41 = 214.92/x
  3. Step 3: Cross multiply
    308.23x = 425.41 × 214.92
  4. Step 4: Simplify right side
    308.23x = 91,428.58
  5. Step 5: Solve for x
    x = 91,428.58/308.23
  6. Step 6: Final answer
    x = 296.63

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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.