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Finding the Fourth Proportional to 161.96, 223.72 and 138.88

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Solution

The fourth proportional to 161.96, 223.72 and 138.88 is: 191.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.96 : 223.72 = 138.88 : x
  2. Step 2: Convert to fraction form
    161.96/223.72 = 138.88/x
  3. Step 3: Cross multiply
    161.96x = 223.72 × 138.88
  4. Step 4: Simplify right side
    161.96x = 31,070.23
  5. Step 5: Solve for x
    x = 31,070.23/161.96
  6. Step 6: Final answer
    x = 191.84

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