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Finding the Fourth Proportional to 206.12, 309.42 and 110.12

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Solution

The fourth proportional to 206.12, 309.42 and 110.12 is: 165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.12 : 309.42 = 110.12 : x
  2. Step 2: Convert to fraction form
    206.12/309.42 = 110.12/x
  3. Step 3: Cross multiply
    206.12x = 309.42 × 110.12
  4. Step 4: Simplify right side
    206.12x = 34,073.33
  5. Step 5: Solve for x
    x = 34,073.33/206.12
  6. Step 6: Final answer
    x = 165.31

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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.