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Finding the Fourth Proportional to 206.43, 309.78 and 119.90

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Solution

The fourth proportional to 206.43, 309.78 and 119.90 is: 179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.43 : 309.78 = 119.90 : x
  2. Step 2: Convert to fraction form
    206.43/309.78 = 119.90/x
  3. Step 3: Cross multiply
    206.43x = 309.78 × 119.90
  4. Step 4: Simplify right side
    206.43x = 37,141.07
  5. Step 5: Solve for x
    x = 37,141.07/206.43
  6. Step 6: Final answer
    x = 179.92

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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.