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Finding the Fourth Proportional to 146.80, 219.84 and 119.92

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Solution

The fourth proportional to 146.80, 219.84 and 119.92 is: 179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.80 : 219.84 = 119.92 : x
  2. Step 2: Convert to fraction form
    146.80/219.84 = 119.92/x
  3. Step 3: Cross multiply
    146.80x = 219.84 × 119.92
  4. Step 4: Simplify right side
    146.80x = 26,363.21
  5. Step 5: Solve for x
    x = 26,363.21/146.80
  6. Step 6: Final answer
    x = 179.59

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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.