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Finding the Fourth Proportional to 161.69, 241.67 and 140.96

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Solution

The fourth proportional to 161.69, 241.67 and 140.96 is: 210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.69 : 241.67 = 140.96 : x
  2. Step 2: Convert to fraction form
    161.69/241.67 = 140.96/x
  3. Step 3: Cross multiply
    161.69x = 241.67 × 140.96
  4. Step 4: Simplify right side
    161.69x = 34,063.89
  5. Step 5: Solve for x
    x = 34,063.89/161.69
  6. Step 6: Final answer
    x = 210.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.