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Finding the Fourth Proportional to 161.29, 222.24 and 119.83

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Solution

The fourth proportional to 161.29, 222.24 and 119.83 is: 165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.29 : 222.24 = 119.83 : x
  2. Step 2: Convert to fraction form
    161.29/222.24 = 119.83/x
  3. Step 3: Cross multiply
    161.29x = 222.24 × 119.83
  4. Step 4: Simplify right side
    161.29x = 26,631.02
  5. Step 5: Solve for x
    x = 26,631.02/161.29
  6. Step 6: Final answer
    x = 165.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.