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Finding the Fourth Proportional to 668.05, 1,001.97 and 205.81

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Solution

The fourth proportional to 668.05, 1,001.97 and 205.81 is: 308.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.05 : 1,001.97 = 205.81 : x
  2. Step 2: Convert to fraction form
    668.05/1,001.97 = 205.81/x
  3. Step 3: Cross multiply
    668.05x = 1,001.97 × 205.81
  4. Step 4: Simplify right side
    668.05x = 206,212.94
  5. Step 5: Solve for x
    x = 206,212.94/668.05
  6. Step 6: Final answer
    x = 308.68

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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.