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Finding the Fourth Proportional to 206.10, 309.26 and 109.91

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Solution

The fourth proportional to 206.10, 309.26 and 109.91 is: 164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.10 : 309.26 = 109.91 : x
  2. Step 2: Convert to fraction form
    206.10/309.26 = 109.91/x
  3. Step 3: Cross multiply
    206.10x = 309.26 × 109.91
  4. Step 4: Simplify right side
    206.10x = 33,988.95
  5. Step 5: Solve for x
    x = 33,988.95/206.10
  6. Step 6: Final answer
    x = 164.92

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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.