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Finding the Fourth Proportional to 206.83, 309.98 and 115.59

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Solution

The fourth proportional to 206.83, 309.98 and 115.59 is: 173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.83 : 309.98 = 115.59 : x
  2. Step 2: Convert to fraction form
    206.83/309.98 = 115.59/x
  3. Step 3: Cross multiply
    206.83x = 309.98 × 115.59
  4. Step 4: Simplify right side
    206.83x = 35,829.65
  5. Step 5: Solve for x
    x = 35,829.65/206.83
  6. Step 6: Final answer
    x = 173.24

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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.