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Finding the Fourth Proportional to 361.64, 499.16 and 214.35

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Solution

The fourth proportional to 361.64, 499.16 and 214.35 is: 295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.64 : 499.16 = 214.35 : x
  2. Step 2: Convert to fraction form
    361.64/499.16 = 214.35/x
  3. Step 3: Cross multiply
    361.64x = 499.16 × 214.35
  4. Step 4: Simplify right side
    361.64x = 106,993.87
  5. Step 5: Solve for x
    x = 106,993.87/361.64
  6. Step 6: Final answer
    x = 295.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.