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Finding the Fourth Proportional to 143.05, 197.22 and 119.65

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Solution

The fourth proportional to 143.05, 197.22 and 119.65 is: 164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.05 : 197.22 = 119.65 : x
  2. Step 2: Convert to fraction form
    143.05/197.22 = 119.65/x
  3. Step 3: Cross multiply
    143.05x = 197.22 × 119.65
  4. Step 4: Simplify right side
    143.05x = 23,597.37
  5. Step 5: Solve for x
    x = 23,597.37/143.05
  6. Step 6: Final answer
    x = 164.96

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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.