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Finding the Fourth Proportional to 196.26, 294.27 and 142.20

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Solution

The fourth proportional to 196.26, 294.27 and 142.20 is: 213.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.26 : 294.27 = 142.20 : x
  2. Step 2: Convert to fraction form
    196.26/294.27 = 142.20/x
  3. Step 3: Cross multiply
    196.26x = 294.27 × 142.20
  4. Step 4: Simplify right side
    196.26x = 41,845.19
  5. Step 5: Solve for x
    x = 41,845.19/196.26
  6. Step 6: Final answer
    x = 213.21

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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.