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Finding the Fourth Proportional to 666.37, 999.56 and 204.15

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Solution

The fourth proportional to 666.37, 999.56 and 204.15 is: 306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.37 : 999.56 = 204.15 : x
  2. Step 2: Convert to fraction form
    666.37/999.56 = 204.15/x
  3. Step 3: Cross multiply
    666.37x = 999.56 × 204.15
  4. Step 4: Simplify right side
    666.37x = 204,061.68
  5. Step 5: Solve for x
    x = 204,061.68/666.37
  6. Step 6: Final answer
    x = 306.23

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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.