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Finding the Fourth Proportional to 361.89, 499.46 and 214.61

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Solution

The fourth proportional to 361.89, 499.46 and 214.61 is: 296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.89 : 499.46 = 214.61 : x
  2. Step 2: Convert to fraction form
    361.89/499.46 = 214.61/x
  3. Step 3: Cross multiply
    361.89x = 499.46 × 214.61
  4. Step 4: Simplify right side
    361.89x = 107,185.54
  5. Step 5: Solve for x
    x = 107,185.54/361.89
  6. Step 6: Final answer
    x = 296.18

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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.