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Finding the Fourth Proportional to 206.82, 283.10 and 206.82

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Solution

The fourth proportional to 206.82, 283.10 and 206.82 is: 283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.82 : 283.10 = 206.82 : x
  2. Step 2: Convert to fraction form
    206.82/283.10 = 206.82/x
  3. Step 3: Cross multiply
    206.82x = 283.10 × 206.82
  4. Step 4: Simplify right side
    206.82x = 58,549.71
  5. Step 5: Solve for x
    x = 58,549.71/206.82
  6. Step 6: Final answer
    x = 283.10

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