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Finding the Fourth Proportional to 300.24, 414 and 213.12

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Solution

The fourth proportional to 300.24, 414 and 213.12 is: 293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.24 : 414 = 213.12 : x
  2. Step 2: Convert to fraction form
    300.24/414 = 213.12/x
  3. Step 3: Cross multiply
    300.24x = 414 × 213.12
  4. Step 4: Simplify right side
    300.24x = 88,231.68
  5. Step 5: Solve for x
    x = 88,231.68/300.24
  6. Step 6: Final answer
    x = 293.87

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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.