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Finding the Fourth Proportional to 375.20, 561.82 and 201.56

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Solution

The fourth proportional to 375.20, 561.82 and 201.56 is: 301.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.20 : 561.82 = 201.56 : x
  2. Step 2: Convert to fraction form
    375.20/561.82 = 201.56/x
  3. Step 3: Cross multiply
    375.20x = 561.82 × 201.56
  4. Step 4: Simplify right side
    375.20x = 113,240.44
  5. Step 5: Solve for x
    x = 113,240.44/375.20
  6. Step 6: Final answer
    x = 301.81

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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.