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Finding the Fourth Proportional to 196.30, 294.63 and 142.48

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Solution

The fourth proportional to 196.30, 294.63 and 142.48 is: 213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.30 : 294.63 = 142.48 : x
  2. Step 2: Convert to fraction form
    196.30/294.63 = 142.48/x
  3. Step 3: Cross multiply
    196.30x = 294.63 × 142.48
  4. Step 4: Simplify right side
    196.30x = 41,978.88
  5. Step 5: Solve for x
    x = 41,978.88/196.30
  6. Step 6: Final answer
    x = 213.85

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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.