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Finding the Fourth Proportional to 246.16, 367.42 and 224.56

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Solution

The fourth proportional to 246.16, 367.42 and 224.56 is: 335.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.16 : 367.42 = 224.56 : x
  2. Step 2: Convert to fraction form
    246.16/367.42 = 224.56/x
  3. Step 3: Cross multiply
    246.16x = 367.42 × 224.56
  4. Step 4: Simplify right side
    246.16x = 82,507.84
  5. Step 5: Solve for x
    x = 82,507.84/246.16
  6. Step 6: Final answer
    x = 335.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.