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Finding the Fourth Proportional to 206, 309.20 and 109.81

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Solution

The fourth proportional to 206, 309.20 and 109.81 is: 164.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206 : 309.20 = 109.81 : x
  2. Step 2: Convert to fraction form
    206/309.20 = 109.81/x
  3. Step 3: Cross multiply
    206x = 309.20 × 109.81
  4. Step 4: Simplify right side
    206x = 33,953.25
  5. Step 5: Solve for x
    x = 33,953.25/206
  6. Step 6: Final answer
    x = 164.82

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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.