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Finding the Fourth Proportional to 161.44, 222.65 and 140.69

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Solution

The fourth proportional to 161.44, 222.65 and 140.69 is: 194.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.44 : 222.65 = 140.69 : x
  2. Step 2: Convert to fraction form
    161.44/222.65 = 140.69/x
  3. Step 3: Cross multiply
    161.44x = 222.65 × 140.69
  4. Step 4: Simplify right side
    161.44x = 31,323.76
  5. Step 5: Solve for x
    x = 31,323.76/161.44
  6. Step 6: Final answer
    x = 194.02

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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.