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Finding the Fourth Proportional to 162.13, 223.87 and 149.85

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Solution

The fourth proportional to 162.13, 223.87 and 149.85 is: 206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.13 : 223.87 = 149.85 : x
  2. Step 2: Convert to fraction form
    162.13/223.87 = 149.85/x
  3. Step 3: Cross multiply
    162.13x = 223.87 × 149.85
  4. Step 4: Simplify right side
    162.13x = 33,546.92
  5. Step 5: Solve for x
    x = 33,546.92/162.13
  6. Step 6: Final answer
    x = 206.91

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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.