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Finding the Fourth Proportional to 361.96, 499.52 and 214.68

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Solution

The fourth proportional to 361.96, 499.52 and 214.68 is: 296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.96 : 499.52 = 214.68 : x
  2. Step 2: Convert to fraction form
    361.96/499.52 = 214.68/x
  3. Step 3: Cross multiply
    361.96x = 499.52 × 214.68
  4. Step 4: Simplify right side
    361.96x = 107,236.95
  5. Step 5: Solve for x
    x = 107,236.95/361.96
  6. Step 6: Final answer
    x = 296.27

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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.