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Finding the Fourth Proportional to 144.92, 198.46 and 144.08

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Solution

The fourth proportional to 144.92, 198.46 and 144.08 is: 197.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.92 : 198.46 = 144.08 : x
  2. Step 2: Convert to fraction form
    144.92/198.46 = 144.08/x
  3. Step 3: Cross multiply
    144.92x = 198.46 × 144.08
  4. Step 4: Simplify right side
    144.92x = 28,594.12
  5. Step 5: Solve for x
    x = 28,594.12/144.92
  6. Step 6: Final answer
    x = 197.31

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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.