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Finding the Fourth Proportional to 161.91, 223.62 and 134.57

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Solution

The fourth proportional to 161.91, 223.62 and 134.57 is: 185.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.91 : 223.62 = 134.57 : x
  2. Step 2: Convert to fraction form
    161.91/223.62 = 134.57/x
  3. Step 3: Cross multiply
    161.91x = 223.62 × 134.57
  4. Step 4: Simplify right side
    161.91x = 30,093.10
  5. Step 5: Solve for x
    x = 30,093.10/161.91
  6. Step 6: Final answer
    x = 185.86

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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.