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Finding the Fourth Proportional to 206.14, 308.72 and 119.29

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Solution

The fourth proportional to 206.14, 308.72 and 119.29 is: 178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.14 : 308.72 = 119.29 : x
  2. Step 2: Convert to fraction form
    206.14/308.72 = 119.29/x
  3. Step 3: Cross multiply
    206.14x = 308.72 × 119.29
  4. Step 4: Simplify right side
    206.14x = 36,826.61
  5. Step 5: Solve for x
    x = 36,826.61/206.14
  6. Step 6: Final answer
    x = 178.65

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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.