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Finding the Fourth Proportional to 161.11, 241.26 and 142.08

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Solution

The fourth proportional to 161.11, 241.26 and 142.08 is: 212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.11 : 241.26 = 142.08 : x
  2. Step 2: Convert to fraction form
    161.11/241.26 = 142.08/x
  3. Step 3: Cross multiply
    161.11x = 241.26 × 142.08
  4. Step 4: Simplify right side
    161.11x = 34,278.22
  5. Step 5: Solve for x
    x = 34,278.22/161.11
  6. Step 6: Final answer
    x = 212.76

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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.