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Finding the Fourth Proportional to 142.96, 197.02 and 119.65

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Solution

The fourth proportional to 142.96, 197.02 and 119.65 is: 164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.96 : 197.02 = 119.65 : x
  2. Step 2: Convert to fraction form
    142.96/197.02 = 119.65/x
  3. Step 3: Cross multiply
    142.96x = 197.02 × 119.65
  4. Step 4: Simplify right side
    142.96x = 23,573.44
  5. Step 5: Solve for x
    x = 23,573.44/142.96
  6. Step 6: Final answer
    x = 164.90

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Why These Related Problems?

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