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Finding the Fourth Proportional to 306.92, 423.56 and 182.68

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Solution

The fourth proportional to 306.92, 423.56 and 182.68 is: 252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.92 : 423.56 = 182.68 : x
  2. Step 2: Convert to fraction form
    306.92/423.56 = 182.68/x
  3. Step 3: Cross multiply
    306.92x = 423.56 × 182.68
  4. Step 4: Simplify right side
    306.92x = 77,375.94
  5. Step 5: Solve for x
    x = 77,375.94/306.92
  6. Step 6: Final answer
    x = 252.10

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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.