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Finding the Fourth Proportional to 311.14, 429.39 and 206.05

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Solution

The fourth proportional to 311.14, 429.39 and 206.05 is: 284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.14 : 429.39 = 206.05 : x
  2. Step 2: Convert to fraction form
    311.14/429.39 = 206.05/x
  3. Step 3: Cross multiply
    311.14x = 429.39 × 206.05
  4. Step 4: Simplify right side
    311.14x = 88,474.02
  5. Step 5: Solve for x
    x = 88,474.02/311.14
  6. Step 6: Final answer
    x = 284.36

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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.