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Finding the Fourth Proportional to 162.44, 223.65 and 137.82

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Solution

The fourth proportional to 162.44, 223.65 and 137.82 is: 189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.44 : 223.65 = 137.82 : x
  2. Step 2: Convert to fraction form
    162.44/223.65 = 137.82/x
  3. Step 3: Cross multiply
    162.44x = 223.65 × 137.82
  4. Step 4: Simplify right side
    162.44x = 30,823.44
  5. Step 5: Solve for x
    x = 30,823.44/162.44
  6. Step 6: Final answer
    x = 189.76

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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.