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Finding the Fourth Proportional to 144.57, 217.93 and 136.21

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Solution

The fourth proportional to 144.57, 217.93 and 136.21 is: 205.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.57 : 217.93 = 136.21 : x
  2. Step 2: Convert to fraction form
    144.57/217.93 = 136.21/x
  3. Step 3: Cross multiply
    144.57x = 217.93 × 136.21
  4. Step 4: Simplify right side
    144.57x = 29,684.25
  5. Step 5: Solve for x
    x = 29,684.25/144.57
  6. Step 6: Final answer
    x = 205.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.