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Finding the Fourth Proportional to 306.92, 423.78 and 214.76

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Solution

The fourth proportional to 306.92, 423.78 and 214.76 is: 296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.92 : 423.78 = 214.76 : x
  2. Step 2: Convert to fraction form
    306.92/423.78 = 214.76/x
  3. Step 3: Cross multiply
    306.92x = 423.78 × 214.76
  4. Step 4: Simplify right side
    306.92x = 91,010.99
  5. Step 5: Solve for x
    x = 91,010.99/306.92
  6. Step 6: Final answer
    x = 296.53

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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.