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Finding the Fourth Proportional to 204.28, 305.09 and 167.80

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Solution

The fourth proportional to 204.28, 305.09 and 167.80 is: 250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.28 : 305.09 = 167.80 : x
  2. Step 2: Convert to fraction form
    204.28/305.09 = 167.80/x
  3. Step 3: Cross multiply
    204.28x = 305.09 × 167.80
  4. Step 4: Simplify right side
    204.28x = 51,194.10
  5. Step 5: Solve for x
    x = 51,194.10/204.28
  6. Step 6: Final answer
    x = 250.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.