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Finding the Fourth Proportional to 206.78, 309.99 and 104.04

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Solution

The fourth proportional to 206.78, 309.99 and 104.04 is: 155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.78 : 309.99 = 104.04 : x
  2. Step 2: Convert to fraction form
    206.78/309.99 = 104.04/x
  3. Step 3: Cross multiply
    206.78x = 309.99 × 104.04
  4. Step 4: Simplify right side
    206.78x = 32,251.75
  5. Step 5: Solve for x
    x = 32,251.75/206.78
  6. Step 6: Final answer
    x = 155.98

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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.