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Finding the Fourth Proportional to 162.20, 223.64 and 137.68

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Solution

The fourth proportional to 162.20, 223.64 and 137.68 is: 189.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.20 : 223.64 = 137.68 : x
  2. Step 2: Convert to fraction form
    162.20/223.64 = 137.68/x
  3. Step 3: Cross multiply
    162.20x = 223.64 × 137.68
  4. Step 4: Simplify right side
    162.20x = 30,790.76
  5. Step 5: Solve for x
    x = 30,790.76/162.20
  6. Step 6: Final answer
    x = 189.83

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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.