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Finding the Fourth Proportional to 206.96, 311.16 and 170.96

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Solution

The fourth proportional to 206.96, 311.16 and 170.96 is: 257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.96 : 311.16 = 170.96 : x
  2. Step 2: Convert to fraction form
    206.96/311.16 = 170.96/x
  3. Step 3: Cross multiply
    206.96x = 311.16 × 170.96
  4. Step 4: Simplify right side
    206.96x = 53,195.91
  5. Step 5: Solve for x
    x = 53,195.91/206.96
  6. Step 6: Final answer
    x = 257.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.