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Finding the Fourth Proportional to 352.44, 527.85 and 198.14

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Solution

The fourth proportional to 352.44, 527.85 and 198.14 is: 296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.44 : 527.85 = 198.14 : x
  2. Step 2: Convert to fraction form
    352.44/527.85 = 198.14/x
  3. Step 3: Cross multiply
    352.44x = 527.85 × 198.14
  4. Step 4: Simplify right side
    352.44x = 104,585.56
  5. Step 5: Solve for x
    x = 104,585.56/352.44
  6. Step 6: Final answer
    x = 296.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.