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Finding the Fourth Proportional to 298.38, 446.94 and 226.02

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Solution

The fourth proportional to 298.38, 446.94 and 226.02 is: 338.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.38 : 446.94 = 226.02 : x
  2. Step 2: Convert to fraction form
    298.38/446.94 = 226.02/x
  3. Step 3: Cross multiply
    298.38x = 446.94 × 226.02
  4. Step 4: Simplify right side
    298.38x = 101,017.38
  5. Step 5: Solve for x
    x = 101,017.38/298.38
  6. Step 6: Final answer
    x = 338.55

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Why These Related Problems?

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