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Finding the Fourth Proportional to 141.02, 194.61 and 119.15

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Solution

The fourth proportional to 141.02, 194.61 and 119.15 is: 164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.02 : 194.61 = 119.15 : x
  2. Step 2: Convert to fraction form
    141.02/194.61 = 119.15/x
  3. Step 3: Cross multiply
    141.02x = 194.61 × 119.15
  4. Step 4: Simplify right side
    141.02x = 23,187.78
  5. Step 5: Solve for x
    x = 23,187.78/141.02
  6. Step 6: Final answer
    x = 164.43

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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.