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Finding the Fourth Proportional to 144.28, 214.85 and 140.84

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Solution

The fourth proportional to 144.28, 214.85 and 140.84 is: 209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.28 : 214.85 = 140.84 : x
  2. Step 2: Convert to fraction form
    144.28/214.85 = 140.84/x
  3. Step 3: Cross multiply
    144.28x = 214.85 × 140.84
  4. Step 4: Simplify right side
    144.28x = 30,259.47
  5. Step 5: Solve for x
    x = 30,259.47/144.28
  6. Step 6: Final answer
    x = 209.73

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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.