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Finding the Fourth Proportional to 361.82, 499.24 and 214.40

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Solution

The fourth proportional to 361.82, 499.24 and 214.40 is: 295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.82 : 499.24 = 214.40 : x
  2. Step 2: Convert to fraction form
    361.82/499.24 = 214.40/x
  3. Step 3: Cross multiply
    361.82x = 499.24 × 214.40
  4. Step 4: Simplify right side
    361.82x = 107,037.06
  5. Step 5: Solve for x
    x = 107,037.06/361.82
  6. Step 6: Final answer
    x = 295.83

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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.