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Finding the Fourth Proportional to 245.45, 338.42 and 224.79

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Solution

The fourth proportional to 245.45, 338.42 and 224.79 is: 309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.45 : 338.42 = 224.79 : x
  2. Step 2: Convert to fraction form
    245.45/338.42 = 224.79/x
  3. Step 3: Cross multiply
    245.45x = 338.42 × 224.79
  4. Step 4: Simplify right side
    245.45x = 76,072.31
  5. Step 5: Solve for x
    x = 76,072.31/245.45
  6. Step 6: Final answer
    x = 309.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.