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Finding the Fourth Proportional to 306.91, 423.63 and 182.62

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Solution

The fourth proportional to 306.91, 423.63 and 182.62 is: 252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.91 : 423.63 = 182.62 : x
  2. Step 2: Convert to fraction form
    306.91/423.63 = 182.62/x
  3. Step 3: Cross multiply
    306.91x = 423.63 × 182.62
  4. Step 4: Simplify right side
    306.91x = 77,363.31
  5. Step 5: Solve for x
    x = 77,363.31/306.91
  6. Step 6: Final answer
    x = 252.07

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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.