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Finding the Fourth Proportional to 668.17, 1,001.82 and 205.80

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Solution

The fourth proportional to 668.17, 1,001.82 and 205.80 is: 308.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.17 : 1,001.82 = 205.80 : x
  2. Step 2: Convert to fraction form
    668.17/1,001.82 = 205.80/x
  3. Step 3: Cross multiply
    668.17x = 1,001.82 × 205.80
  4. Step 4: Simplify right side
    668.17x = 206,172.05
  5. Step 5: Solve for x
    x = 206,172.05/668.17
  6. Step 6: Final answer
    x = 308.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.