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Finding the Fourth Proportional to 344.22, 515.90 and 199.62

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Solution

The fourth proportional to 344.22, 515.90 and 199.62 is: 299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.22 : 515.90 = 199.62 : x
  2. Step 2: Convert to fraction form
    344.22/515.90 = 199.62/x
  3. Step 3: Cross multiply
    344.22x = 515.90 × 199.62
  4. Step 4: Simplify right side
    344.22x = 102,983.96
  5. Step 5: Solve for x
    x = 102,983.96/344.22
  6. Step 6: Final answer
    x = 299.18

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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.