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Finding the Fourth Proportional to 311.14, 429.47 and 206.32

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Solution

The fourth proportional to 311.14, 429.47 and 206.32 is: 284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.14 : 429.47 = 206.32 : x
  2. Step 2: Convert to fraction form
    311.14/429.47 = 206.32/x
  3. Step 3: Cross multiply
    311.14x = 429.47 × 206.32
  4. Step 4: Simplify right side
    311.14x = 88,608.25
  5. Step 5: Solve for x
    x = 88,608.25/311.14
  6. Step 6: Final answer
    x = 284.79

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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.