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Finding the Fourth Proportional to 231.97, 347.19 and 200.29

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Solution

The fourth proportional to 231.97, 347.19 and 200.29 is: 299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.97 : 347.19 = 200.29 : x
  2. Step 2: Convert to fraction form
    231.97/347.19 = 200.29/x
  3. Step 3: Cross multiply
    231.97x = 347.19 × 200.29
  4. Step 4: Simplify right side
    231.97x = 69,538.69
  5. Step 5: Solve for x
    x = 69,538.69/231.97
  6. Step 6: Final answer
    x = 299.77

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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.