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Finding the Fourth Proportional to 666.75, 1,000.16 and 204.54

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Solution

The fourth proportional to 666.75, 1,000.16 and 204.54 is: 306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.75 : 1,000.16 = 204.54 : x
  2. Step 2: Convert to fraction form
    666.75/1,000.16 = 204.54/x
  3. Step 3: Cross multiply
    666.75x = 1,000.16 × 204.54
  4. Step 4: Simplify right side
    666.75x = 204,572.73
  5. Step 5: Solve for x
    x = 204,572.73/666.75
  6. Step 6: Final answer
    x = 306.82

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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.