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Finding the Fourth Proportional to 306.72, 423.27 and 168.72

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Solution

The fourth proportional to 306.72, 423.27 and 168.72 is: 232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.72 : 423.27 = 168.72 : x
  2. Step 2: Convert to fraction form
    306.72/423.27 = 168.72/x
  3. Step 3: Cross multiply
    306.72x = 423.27 × 168.72
  4. Step 4: Simplify right side
    306.72x = 71,414.11
  5. Step 5: Solve for x
    x = 71,414.11/306.72
  6. Step 6: Final answer
    x = 232.83

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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.