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Finding the Fourth Proportional to 361.62, 499.14 and 214.29

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Solution

The fourth proportional to 361.62, 499.14 and 214.29 is: 295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.62 : 499.14 = 214.29 : x
  2. Step 2: Convert to fraction form
    361.62/499.14 = 214.29/x
  3. Step 3: Cross multiply
    361.62x = 499.14 × 214.29
  4. Step 4: Simplify right side
    361.62x = 106,960.71
  5. Step 5: Solve for x
    x = 106,960.71/361.62
  6. Step 6: Final answer
    x = 295.78

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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.