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Finding the Fourth Proportional to 206.36, 309.40 and 108.83

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Solution

The fourth proportional to 206.36, 309.40 and 108.83 is: 163.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.36 : 309.40 = 108.83 : x
  2. Step 2: Convert to fraction form
    206.36/309.40 = 108.83/x
  3. Step 3: Cross multiply
    206.36x = 309.40 × 108.83
  4. Step 4: Simplify right side
    206.36x = 33,672.00
  5. Step 5: Solve for x
    x = 33,672.00/206.36
  6. Step 6: Final answer
    x = 163.17

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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.