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Finding the Fourth Proportional to 144.05, 214.73 and 142.43

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Solution

The fourth proportional to 144.05, 214.73 and 142.43 is: 212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.05 : 214.73 = 142.43 : x
  2. Step 2: Convert to fraction form
    144.05/214.73 = 142.43/x
  3. Step 3: Cross multiply
    144.05x = 214.73 × 142.43
  4. Step 4: Simplify right side
    144.05x = 30,583.99
  5. Step 5: Solve for x
    x = 30,583.99/144.05
  6. Step 6: Final answer
    x = 212.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.