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Finding the Fourth Proportional to 142.16, 213.17 and 119.34

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Solution

The fourth proportional to 142.16, 213.17 and 119.34 is: 178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.16 : 213.17 = 119.34 : x
  2. Step 2: Convert to fraction form
    142.16/213.17 = 119.34/x
  3. Step 3: Cross multiply
    142.16x = 213.17 × 119.34
  4. Step 4: Simplify right side
    142.16x = 25,439.11
  5. Step 5: Solve for x
    x = 25,439.11/142.16
  6. Step 6: Final answer
    x = 178.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.