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Finding the Fourth Proportional to 160.73, 222.23 and 140.22

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Solution

The fourth proportional to 160.73, 222.23 and 140.22 is: 193.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.73 : 222.23 = 140.22 : x
  2. Step 2: Convert to fraction form
    160.73/222.23 = 140.22/x
  3. Step 3: Cross multiply
    160.73x = 222.23 × 140.22
  4. Step 4: Simplify right side
    160.73x = 31,162.00
  5. Step 5: Solve for x
    x = 31,162.00/160.73
  6. Step 6: Final answer
    x = 193.88

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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.