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Finding the Fourth Proportional to 668.15, 1,002.38 and 205.94

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Solution

The fourth proportional to 668.15, 1,002.38 and 205.94 is: 308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.15 : 1,002.38 = 205.94 : x
  2. Step 2: Convert to fraction form
    668.15/1,002.38 = 205.94/x
  3. Step 3: Cross multiply
    668.15x = 1,002.38 × 205.94
  4. Step 4: Simplify right side
    668.15x = 206,431.61
  5. Step 5: Solve for x
    x = 206,431.61/668.15
  6. Step 6: Final answer
    x = 308.96

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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.