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Finding the Fourth Proportional to 204.97, 305.85 and 180.36

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Solution

The fourth proportional to 204.97, 305.85 and 180.36 is: 269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.97 : 305.85 = 180.36 : x
  2. Step 2: Convert to fraction form
    204.97/305.85 = 180.36/x
  3. Step 3: Cross multiply
    204.97x = 305.85 × 180.36
  4. Step 4: Simplify right side
    204.97x = 55,163.11
  5. Step 5: Solve for x
    x = 55,163.11/204.97
  6. Step 6: Final answer
    x = 269.13

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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.