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Finding the Fourth Proportional to 206.17, 309.29 and 69.23

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Solution

The fourth proportional to 206.17, 309.29 and 69.23 is: 103.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.17 : 309.29 = 69.23 : x
  2. Step 2: Convert to fraction form
    206.17/309.29 = 69.23/x
  3. Step 3: Cross multiply
    206.17x = 309.29 × 69.23
  4. Step 4: Simplify right side
    206.17x = 21,410.25
  5. Step 5: Solve for x
    x = 21,410.25/206.17
  6. Step 6: Final answer
    x = 103.85

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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.