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Finding the Fourth Proportional to 666.35, 999.56 and 204.20

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Solution

The fourth proportional to 666.35, 999.56 and 204.20 is: 306.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.35 : 999.56 = 204.20 : x
  2. Step 2: Convert to fraction form
    666.35/999.56 = 204.20/x
  3. Step 3: Cross multiply
    666.35x = 999.56 × 204.20
  4. Step 4: Simplify right side
    666.35x = 204,110.15
  5. Step 5: Solve for x
    x = 204,110.15/666.35
  6. Step 6: Final answer
    x = 306.31

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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.