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Finding the Fourth Proportional to 146.30, 218.27 and 130.90

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Solution

The fourth proportional to 146.30, 218.27 and 130.90 is: 195.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.30 : 218.27 = 130.90 : x
  2. Step 2: Convert to fraction form
    146.30/218.27 = 130.90/x
  3. Step 3: Cross multiply
    146.30x = 218.27 × 130.90
  4. Step 4: Simplify right side
    146.30x = 28,571.54
  5. Step 5: Solve for x
    x = 28,571.54/146.30
  6. Step 6: Final answer
    x = 195.29

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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.