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Finding the Fourth Proportional to 144.03, 199.77 and 142.21

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Solution

The fourth proportional to 144.03, 199.77 and 142.21 is: 197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.03 : 199.77 = 142.21 : x
  2. Step 2: Convert to fraction form
    144.03/199.77 = 142.21/x
  3. Step 3: Cross multiply
    144.03x = 199.77 × 142.21
  4. Step 4: Simplify right side
    144.03x = 28,407.88
  5. Step 5: Solve for x
    x = 28,407.88/144.03
  6. Step 6: Final answer
    x = 197.24

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.