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Finding the Fourth Proportional to 201.82, 302.35 and 161.19

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Solution

The fourth proportional to 201.82, 302.35 and 161.19 is: 241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.82 : 302.35 = 161.19 : x
  2. Step 2: Convert to fraction form
    201.82/302.35 = 161.19/x
  3. Step 3: Cross multiply
    201.82x = 302.35 × 161.19
  4. Step 4: Simplify right side
    201.82x = 48,735.80
  5. Step 5: Solve for x
    x = 48,735.80/201.82
  6. Step 6: Final answer
    x = 241.48

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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.