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Finding the Fourth Proportional to 311.23, 429.37 and 206.38

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Solution

The fourth proportional to 311.23, 429.37 and 206.38 is: 284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.23 : 429.37 = 206.38 : x
  2. Step 2: Convert to fraction form
    311.23/429.37 = 206.38/x
  3. Step 3: Cross multiply
    311.23x = 429.37 × 206.38
  4. Step 4: Simplify right side
    311.23x = 88,613.38
  5. Step 5: Solve for x
    x = 88,613.38/311.23
  6. Step 6: Final answer
    x = 284.72

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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.