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Finding the Fourth Proportional to 666.31, 999.63 and 204.09

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Solution

The fourth proportional to 666.31, 999.63 and 204.09 is: 306.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.31 : 999.63 = 204.09 : x
  2. Step 2: Convert to fraction form
    666.31/999.63 = 204.09/x
  3. Step 3: Cross multiply
    666.31x = 999.63 × 204.09
  4. Step 4: Simplify right side
    666.31x = 204,014.49
  5. Step 5: Solve for x
    x = 204,014.49/666.31
  6. Step 6: Final answer
    x = 306.19

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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.