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Finding the Fourth Proportional to 301.14, 414.72 and 245.70

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Solution

The fourth proportional to 301.14, 414.72 and 245.70 is: 338.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.14 : 414.72 = 245.70 : x
  2. Step 2: Convert to fraction form
    301.14/414.72 = 245.70/x
  3. Step 3: Cross multiply
    301.14x = 414.72 × 245.70
  4. Step 4: Simplify right side
    301.14x = 101,896.70
  5. Step 5: Solve for x
    x = 101,896.70/301.14
  6. Step 6: Final answer
    x = 338.37

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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.