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Finding the Fourth Proportional to 201.82, 303.02 and 167.80

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Solution

The fourth proportional to 201.82, 303.02 and 167.80 is: 251.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.82 : 303.02 = 167.80 : x
  2. Step 2: Convert to fraction form
    201.82/303.02 = 167.80/x
  3. Step 3: Cross multiply
    201.82x = 303.02 × 167.80
  4. Step 4: Simplify right side
    201.82x = 50,846.76
  5. Step 5: Solve for x
    x = 50,846.76/201.82
  6. Step 6: Final answer
    x = 251.94

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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.