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Finding the Fourth Proportional to 196.47, 293.45 and 142.20

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Solution

The fourth proportional to 196.47, 293.45 and 142.20 is: 212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.47 : 293.45 = 142.20 : x
  2. Step 2: Convert to fraction form
    196.47/293.45 = 142.20/x
  3. Step 3: Cross multiply
    196.47x = 293.45 × 142.20
  4. Step 4: Simplify right side
    196.47x = 41,727.88
  5. Step 5: Solve for x
    x = 41,727.88/196.47
  6. Step 6: Final answer
    x = 212.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.