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Finding the Fourth Proportional to 142.24, 213.25 and 130.85

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Solution

The fourth proportional to 142.24, 213.25 and 130.85 is: 196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.24 : 213.25 = 130.85 : x
  2. Step 2: Convert to fraction form
    142.24/213.25 = 130.85/x
  3. Step 3: Cross multiply
    142.24x = 213.25 × 130.85
  4. Step 4: Simplify right side
    142.24x = 27,903.11
  5. Step 5: Solve for x
    x = 27,903.11/142.24
  6. Step 6: Final answer
    x = 196.17

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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.