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Finding the Fourth Proportional to 196.47, 294.44 and 142.47

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Solution

The fourth proportional to 196.47, 294.44 and 142.47 is: 213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.47 : 294.44 = 142.47 : x
  2. Step 2: Convert to fraction form
    196.47/294.44 = 142.47/x
  3. Step 3: Cross multiply
    196.47x = 294.44 × 142.47
  4. Step 4: Simplify right side
    196.47x = 41,948.15
  5. Step 5: Solve for x
    x = 41,948.15/196.47
  6. Step 6: Final answer
    x = 213.51

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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.