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Finding the Fourth Proportional to 343.92, 516.12 and 151.44

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Solution

The fourth proportional to 343.92, 516.12 and 151.44 is: 227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.92 : 516.12 = 151.44 : x
  2. Step 2: Convert to fraction form
    343.92/516.12 = 151.44/x
  3. Step 3: Cross multiply
    343.92x = 516.12 × 151.44
  4. Step 4: Simplify right side
    343.92x = 78,161.21
  5. Step 5: Solve for x
    x = 78,161.21/343.92
  6. Step 6: Final answer
    x = 227.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.