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Finding the Fourth Proportional to 206.89, 284.83 and 183.65

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Solution

The fourth proportional to 206.89, 284.83 and 183.65 is: 252.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.89 : 284.83 = 183.65 : x
  2. Step 2: Convert to fraction form
    206.89/284.83 = 183.65/x
  3. Step 3: Cross multiply
    206.89x = 284.83 × 183.65
  4. Step 4: Simplify right side
    206.89x = 52,309.03
  5. Step 5: Solve for x
    x = 52,309.03/206.89
  6. Step 6: Final answer
    x = 252.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.