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Finding the Fourth Proportional to 226.92, 340.29 and 146.28

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Solution

The fourth proportional to 226.92, 340.29 and 146.28 is: 219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.92 : 340.29 = 146.28 : x
  2. Step 2: Convert to fraction form
    226.92/340.29 = 146.28/x
  3. Step 3: Cross multiply
    226.92x = 340.29 × 146.28
  4. Step 4: Simplify right side
    226.92x = 49,777.62
  5. Step 5: Solve for x
    x = 49,777.62/226.92
  6. Step 6: Final answer
    x = 219.36

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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.