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Finding the Fourth Proportional to 206.26, 309.31 and 103.61

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Solution

The fourth proportional to 206.26, 309.31 and 103.61 is: 155.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.26 : 309.31 = 103.61 : x
  2. Step 2: Convert to fraction form
    206.26/309.31 = 103.61/x
  3. Step 3: Cross multiply
    206.26x = 309.31 × 103.61
  4. Step 4: Simplify right side
    206.26x = 32,047.61
  5. Step 5: Solve for x
    x = 32,047.61/206.26
  6. Step 6: Final answer
    x = 155.37

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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.