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Finding the Fourth Proportional to 206.89, 310.16 and 85.12

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Solution

The fourth proportional to 206.89, 310.16 and 85.12 is: 127.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.89 : 310.16 = 85.12 : x
  2. Step 2: Convert to fraction form
    206.89/310.16 = 85.12/x
  3. Step 3: Cross multiply
    206.89x = 310.16 × 85.12
  4. Step 4: Simplify right side
    206.89x = 26,400.26
  5. Step 5: Solve for x
    x = 26,400.26/206.89
  6. Step 6: Final answer
    x = 127.61

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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.