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Finding the Fourth Proportional to 143.66, 197.85 and 142.85

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Solution

The fourth proportional to 143.66, 197.85 and 142.85 is: 196.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.66 : 197.85 = 142.85 : x
  2. Step 2: Convert to fraction form
    143.66/197.85 = 142.85/x
  3. Step 3: Cross multiply
    143.66x = 197.85 × 142.85
  4. Step 4: Simplify right side
    143.66x = 28,262.87
  5. Step 5: Solve for x
    x = 28,262.87/143.66
  6. Step 6: Final answer
    x = 196.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.