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Finding the Fourth Proportional to 146.36, 219.24 and 119.03

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Solution

The fourth proportional to 146.36, 219.24 and 119.03 is: 178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.36 : 219.24 = 119.03 : x
  2. Step 2: Convert to fraction form
    146.36/219.24 = 119.03/x
  3. Step 3: Cross multiply
    146.36x = 219.24 × 119.03
  4. Step 4: Simplify right side
    146.36x = 26,095.04
  5. Step 5: Solve for x
    x = 26,095.04/146.36
  6. Step 6: Final answer
    x = 178.29

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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.