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Finding the Fourth Proportional to 140.19, 192.50 and 119.22

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Solution

The fourth proportional to 140.19, 192.50 and 119.22 is: 163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.19 : 192.50 = 119.22 : x
  2. Step 2: Convert to fraction form
    140.19/192.50 = 119.22/x
  3. Step 3: Cross multiply
    140.19x = 192.50 × 119.22
  4. Step 4: Simplify right side
    140.19x = 22,949.25
  5. Step 5: Solve for x
    x = 22,949.25/140.19
  6. Step 6: Final answer
    x = 163.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.