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Finding the Fourth Proportional to 375.44, 563.42 and 131.96

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Solution

The fourth proportional to 375.44, 563.42 and 131.96 is: 198.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.44 : 563.42 = 131.96 : x
  2. Step 2: Convert to fraction form
    375.44/563.42 = 131.96/x
  3. Step 3: Cross multiply
    375.44x = 563.42 × 131.96
  4. Step 4: Simplify right side
    375.44x = 74,350.64
  5. Step 5: Solve for x
    x = 74,350.64/375.44
  6. Step 6: Final answer
    x = 198.04

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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.