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Finding the Fourth Proportional to 262.62, 363.08 and 251.14

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Solution

The fourth proportional to 262.62, 363.08 and 251.14 is: 347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.62 : 363.08 = 251.14 : x
  2. Step 2: Convert to fraction form
    262.62/363.08 = 251.14/x
  3. Step 3: Cross multiply
    262.62x = 363.08 × 251.14
  4. Step 4: Simplify right side
    262.62x = 91,183.91
  5. Step 5: Solve for x
    x = 91,183.91/262.62
  6. Step 6: Final answer
    x = 347.21

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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.