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Finding the Fourth Proportional to 204.45, 306.33 and 131.40

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Solution

The fourth proportional to 204.45, 306.33 and 131.40 is: 196.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.45 : 306.33 = 131.40 : x
  2. Step 2: Convert to fraction form
    204.45/306.33 = 131.40/x
  3. Step 3: Cross multiply
    204.45x = 306.33 × 131.40
  4. Step 4: Simplify right side
    204.45x = 40,251.76
  5. Step 5: Solve for x
    x = 40,251.76/204.45
  6. Step 6: Final answer
    x = 196.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.