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Finding the Fourth Proportional to 206.10, 283.42 and 182.82

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Solution

The fourth proportional to 206.10, 283.42 and 182.82 is: 251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.10 : 283.42 = 182.82 : x
  2. Step 2: Convert to fraction form
    206.10/283.42 = 182.82/x
  3. Step 3: Cross multiply
    206.10x = 283.42 × 182.82
  4. Step 4: Simplify right side
    206.10x = 51,814.84
  5. Step 5: Solve for x
    x = 51,814.84/206.10
  6. Step 6: Final answer
    x = 251.41

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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.