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Finding the Fourth Proportional to 196.92, 295.02 and 142.74

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Solution

The fourth proportional to 196.92, 295.02 and 142.74 is: 213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.92 : 295.02 = 142.74 : x
  2. Step 2: Convert to fraction form
    196.92/295.02 = 142.74/x
  3. Step 3: Cross multiply
    196.92x = 295.02 × 142.74
  4. Step 4: Simplify right side
    196.92x = 42,111.15
  5. Step 5: Solve for x
    x = 42,111.15/196.92
  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.