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Finding the Fourth Proportional to 667.67, 1,001.57 and 205.47

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Solution

The fourth proportional to 667.67, 1,001.57 and 205.47 is: 308.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.67 : 1,001.57 = 205.47 : x
  2. Step 2: Convert to fraction form
    667.67/1,001.57 = 205.47/x
  3. Step 3: Cross multiply
    667.67x = 1,001.57 × 205.47
  4. Step 4: Simplify right side
    667.67x = 205,791.56
  5. Step 5: Solve for x
    x = 205,791.56/667.67
  6. Step 6: Final answer
    x = 308.23

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Why These Related Problems?

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