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Finding the Fourth Proportional to 206.77, 283.61 and 182.17

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Solution

The fourth proportional to 206.77, 283.61 and 182.17 is: 249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.77 : 283.61 = 182.17 : x
  2. Step 2: Convert to fraction form
    206.77/283.61 = 182.17/x
  3. Step 3: Cross multiply
    206.77x = 283.61 × 182.17
  4. Step 4: Simplify right side
    206.77x = 51,664.32
  5. Step 5: Solve for x
    x = 51,664.32/206.77
  6. Step 6: Final answer
    x = 249.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.