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Finding the Fourth Proportional to 343.92, 515.97 and 151.59

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Solution

The fourth proportional to 343.92, 515.97 and 151.59 is: 227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.92 : 515.97 = 151.59 : x
  2. Step 2: Convert to fraction form
    343.92/515.97 = 151.59/x
  3. Step 3: Cross multiply
    343.92x = 515.97 × 151.59
  4. Step 4: Simplify right side
    343.92x = 78,212.55
  5. Step 5: Solve for x
    x = 78,212.55/343.92
  6. Step 6: Final answer
    x = 227.42

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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.