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Finding the Fourth Proportional to 146.20, 218.79 and 127.15

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Solution

The fourth proportional to 146.20, 218.79 and 127.15 is: 190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.20 : 218.79 = 127.15 : x
  2. Step 2: Convert to fraction form
    146.20/218.79 = 127.15/x
  3. Step 3: Cross multiply
    146.20x = 218.79 × 127.15
  4. Step 4: Simplify right side
    146.20x = 27,819.15
  5. Step 5: Solve for x
    x = 27,819.15/146.20
  6. Step 6: Final answer
    x = 190.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.