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Finding the Fourth Proportional to 344.62, 515.87 and 199.90

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Solution

The fourth proportional to 344.62, 515.87 and 199.90 is: 299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.62 : 515.87 = 199.90 : x
  2. Step 2: Convert to fraction form
    344.62/515.87 = 199.90/x
  3. Step 3: Cross multiply
    344.62x = 515.87 × 199.90
  4. Step 4: Simplify right side
    344.62x = 103,122.41
  5. Step 5: Solve for x
    x = 103,122.41/344.62
  6. Step 6: Final answer
    x = 299.24

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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.