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Finding the Fourth Proportional to 206.50, 309.82 and 119.91

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Solution

The fourth proportional to 206.50, 309.82 and 119.91 is: 179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.50 : 309.82 = 119.91 : x
  2. Step 2: Convert to fraction form
    206.50/309.82 = 119.91/x
  3. Step 3: Cross multiply
    206.50x = 309.82 × 119.91
  4. Step 4: Simplify right side
    206.50x = 37,150.82
  5. Step 5: Solve for x
    x = 37,150.82/206.50
  6. Step 6: Final answer
    x = 179.91

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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.