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Finding the Fourth Proportional to 361.98, 499.46 and 214.56

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Solution

The fourth proportional to 361.98, 499.46 and 214.56 is: 296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.98 : 499.46 = 214.56 : x
  2. Step 2: Convert to fraction form
    361.98/499.46 = 214.56/x
  3. Step 3: Cross multiply
    361.98x = 499.46 × 214.56
  4. Step 4: Simplify right side
    361.98x = 107,164.14
  5. Step 5: Solve for x
    x = 107,164.14/361.98
  6. Step 6: Final answer
    x = 296.05

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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.