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Finding the Fourth Proportional to 300.56, 414.94 and 202.84

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Solution

The fourth proportional to 300.56, 414.94 and 202.84 is: 280.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.56 : 414.94 = 202.84 : x
  2. Step 2: Convert to fraction form
    300.56/414.94 = 202.84/x
  3. Step 3: Cross multiply
    300.56x = 414.94 × 202.84
  4. Step 4: Simplify right side
    300.56x = 84,166.43
  5. Step 5: Solve for x
    x = 84,166.43/300.56
  6. Step 6: Final answer
    x = 280.03

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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.