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Finding the Fourth Proportional to 146.21, 217.82 and 139.33

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Solution

The fourth proportional to 146.21, 217.82 and 139.33 is: 207.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.21 : 217.82 = 139.33 : x
  2. Step 2: Convert to fraction form
    146.21/217.82 = 139.33/x
  3. Step 3: Cross multiply
    146.21x = 217.82 × 139.33
  4. Step 4: Simplify right side
    146.21x = 30,348.86
  5. Step 5: Solve for x
    x = 30,348.86/146.21
  6. Step 6: Final answer
    x = 207.57

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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.