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Finding the Fourth Proportional to 206.56, 283.88 and 200.80

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Solution

The fourth proportional to 206.56, 283.88 and 200.80 is: 275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.56 : 283.88 = 200.80 : x
  2. Step 2: Convert to fraction form
    206.56/283.88 = 200.80/x
  3. Step 3: Cross multiply
    206.56x = 283.88 × 200.80
  4. Step 4: Simplify right side
    206.56x = 57,003.10
  5. Step 5: Solve for x
    x = 57,003.10/206.56
  6. Step 6: Final answer
    x = 275.96

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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.