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Finding the Fourth Proportional to 206.13, 309.23 and 77.88

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Solution

The fourth proportional to 206.13, 309.23 and 77.88 is: 116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.13 : 309.23 = 77.88 : x
  2. Step 2: Convert to fraction form
    206.13/309.23 = 77.88/x
  3. Step 3: Cross multiply
    206.13x = 309.23 × 77.88
  4. Step 4: Simplify right side
    206.13x = 24,081.48
  5. Step 5: Solve for x
    x = 24,081.48/206.13
  6. Step 6: Final answer
    x = 116.83

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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.