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Finding the Fourth Proportional to 144.02, 197.68 and 144.02

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Solution

The fourth proportional to 144.02, 197.68 and 144.02 is: 197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.02 : 197.68 = 144.02 : x
  2. Step 2: Convert to fraction form
    144.02/197.68 = 144.02/x
  3. Step 3: Cross multiply
    144.02x = 197.68 × 144.02
  4. Step 4: Simplify right side
    144.02x = 28,469.87
  5. Step 5: Solve for x
    x = 28,469.87/144.02
  6. Step 6: Final answer
    x = 197.68

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