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Finding the Fourth Proportional to 231.34, 319.71 and 206.74

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Solution

The fourth proportional to 231.34, 319.71 and 206.74 is: 285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.34 : 319.71 = 206.74 : x
  2. Step 2: Convert to fraction form
    231.34/319.71 = 206.74/x
  3. Step 3: Cross multiply
    231.34x = 319.71 × 206.74
  4. Step 4: Simplify right side
    231.34x = 66,096.85
  5. Step 5: Solve for x
    x = 66,096.85/231.34
  6. Step 6: Final answer
    x = 285.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.