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Finding the Fourth Proportional to 300.42, 414.09 and 202.14

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Solution

The fourth proportional to 300.42, 414.09 and 202.14 is: 278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.42 : 414.09 = 202.14 : x
  2. Step 2: Convert to fraction form
    300.42/414.09 = 202.14/x
  3. Step 3: Cross multiply
    300.42x = 414.09 × 202.14
  4. Step 4: Simplify right side
    300.42x = 83,704.15
  5. Step 5: Solve for x
    x = 83,704.15/300.42
  6. Step 6: Final answer
    x = 278.62

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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.