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Finding the Fourth Proportional to 204.10, 305.96 and 73.99

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Solution

The fourth proportional to 204.10, 305.96 and 73.99 is: 110.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.10 : 305.96 = 73.99 : x
  2. Step 2: Convert to fraction form
    204.10/305.96 = 73.99/x
  3. Step 3: Cross multiply
    204.10x = 305.96 × 73.99
  4. Step 4: Simplify right side
    204.10x = 22,636.85
  5. Step 5: Solve for x
    x = 22,636.85/204.10
  6. Step 6: Final answer
    x = 110.91

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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.