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Finding the Fourth Proportional to 344.41, 516.50 and 113.24

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Solution

The fourth proportional to 344.41, 516.50 and 113.24 is: 169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.41 : 516.50 = 113.24 : x
  2. Step 2: Convert to fraction form
    344.41/516.50 = 113.24/x
  3. Step 3: Cross multiply
    344.41x = 516.50 × 113.24
  4. Step 4: Simplify right side
    344.41x = 58,488.46
  5. Step 5: Solve for x
    x = 58,488.46/344.41
  6. Step 6: Final answer
    x = 169.82

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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.