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Finding the Fourth Proportional to 277.10, 382.04 and 198.54

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Solution

The fourth proportional to 277.10, 382.04 and 198.54 is: 273.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.10 : 382.04 = 198.54 : x
  2. Step 2: Convert to fraction form
    277.10/382.04 = 198.54/x
  3. Step 3: Cross multiply
    277.10x = 382.04 × 198.54
  4. Step 4: Simplify right side
    277.10x = 75,850.22
  5. Step 5: Solve for x
    x = 75,850.22/277.10
  6. Step 6: Final answer
    x = 273.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.