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Finding the Fourth Proportional to 144.88, 198.66 and 142.96

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Solution

The fourth proportional to 144.88, 198.66 and 142.96 is: 196.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.88 : 198.66 = 142.96 : x
  2. Step 2: Convert to fraction form
    144.88/198.66 = 142.96/x
  3. Step 3: Cross multiply
    144.88x = 198.66 × 142.96
  4. Step 4: Simplify right side
    144.88x = 28,400.43
  5. Step 5: Solve for x
    x = 28,400.43/144.88
  6. Step 6: Final answer
    x = 196.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.