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Finding the Fourth Proportional to 206.96, 310.43 and 85.22

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Solution

The fourth proportional to 206.96, 310.43 and 85.22 is: 127.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.96 : 310.43 = 85.22 : x
  2. Step 2: Convert to fraction form
    206.96/310.43 = 85.22/x
  3. Step 3: Cross multiply
    206.96x = 310.43 × 85.22
  4. Step 4: Simplify right side
    206.96x = 26,454.67
  5. Step 5: Solve for x
    x = 26,454.67/206.96
  6. Step 6: Final answer
    x = 127.83

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Why These Related Problems?

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