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Finding the Fourth Proportional to 271.20, 405.84 and 198.84

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Solution

The fourth proportional to 271.20, 405.84 and 198.84 is: 297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.20 : 405.84 = 198.84 : x
  2. Step 2: Convert to fraction form
    271.20/405.84 = 198.84/x
  3. Step 3: Cross multiply
    271.20x = 405.84 × 198.84
  4. Step 4: Simplify right side
    271.20x = 80,697.23
  5. Step 5: Solve for x
    x = 80,697.23/271.20
  6. Step 6: Final answer
    x = 297.56

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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.