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Finding the Fourth Proportional to 161.82, 242.94 and 161.08

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Solution

The fourth proportional to 161.82, 242.94 and 161.08 is: 241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.82 : 242.94 = 161.08 : x
  2. Step 2: Convert to fraction form
    161.82/242.94 = 161.08/x
  3. Step 3: Cross multiply
    161.82x = 242.94 × 161.08
  4. Step 4: Simplify right side
    161.82x = 39,132.98
  5. Step 5: Solve for x
    x = 39,132.98/161.82
  6. Step 6: Final answer
    x = 241.83

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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.