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Finding the Fourth Proportional to 206.24, 309.24 and 77.96

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Solution

The fourth proportional to 206.24, 309.24 and 77.96 is: 116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.24 : 309.24 = 77.96 : x
  2. Step 2: Convert to fraction form
    206.24/309.24 = 77.96/x
  3. Step 3: Cross multiply
    206.24x = 309.24 × 77.96
  4. Step 4: Simplify right side
    206.24x = 24,108.35
  5. Step 5: Solve for x
    x = 24,108.35/206.24
  6. Step 6: Final answer
    x = 116.89

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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.