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Finding the Fourth Proportional to 204.29, 306.09 and 132.00

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Solution

The fourth proportional to 204.29, 306.09 and 132.00 is: 197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.29 : 306.09 = 132.00 : x
  2. Step 2: Convert to fraction form
    204.29/306.09 = 132.00/x
  3. Step 3: Cross multiply
    204.29x = 306.09 × 132.00
  4. Step 4: Simplify right side
    204.29x = 40,401.69
  5. Step 5: Solve for x
    x = 40,401.69/204.29
  6. Step 6: Final answer
    x = 197.77

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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.