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Finding the Fourth Proportional to 306.71, 423.23 and 182.33

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Solution

The fourth proportional to 306.71, 423.23 and 182.33 is: 251.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.71 : 423.23 = 182.33 : x
  2. Step 2: Convert to fraction form
    306.71/423.23 = 182.33/x
  3. Step 3: Cross multiply
    306.71x = 423.23 × 182.33
  4. Step 4: Simplify right side
    306.71x = 77,164.50
  5. Step 5: Solve for x
    x = 77,164.50/306.71
  6. Step 6: Final answer
    x = 251.59

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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.