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Finding the Fourth Proportional to 231.57, 345.71 and 200.82

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Solution

The fourth proportional to 231.57, 345.71 and 200.82 is: 299.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.57 : 345.71 = 200.82 : x
  2. Step 2: Convert to fraction form
    231.57/345.71 = 200.82/x
  3. Step 3: Cross multiply
    231.57x = 345.71 × 200.82
  4. Step 4: Simplify right side
    231.57x = 69,423.44
  5. Step 5: Solve for x
    x = 69,423.44/231.57
  6. Step 6: Final answer
    x = 299.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.