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Finding the Fourth Proportional to 300.21, 414.07 and 206.82

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Solution

The fourth proportional to 300.21, 414.07 and 206.82 is: 285.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.21 : 414.07 = 206.82 : x
  2. Step 2: Convert to fraction form
    300.21/414.07 = 206.82/x
  3. Step 3: Cross multiply
    300.21x = 414.07 × 206.82
  4. Step 4: Simplify right side
    300.21x = 85,637.96
  5. Step 5: Solve for x
    x = 85,637.96/300.21
  6. Step 6: Final answer
    x = 285.26

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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.