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Finding the Fourth Proportional to 224.29, 336.84 and 214.03

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Solution

The fourth proportional to 224.29, 336.84 and 214.03 is: 321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.29 : 336.84 = 214.03 : x
  2. Step 2: Convert to fraction form
    224.29/336.84 = 214.03/x
  3. Step 3: Cross multiply
    224.29x = 336.84 × 214.03
  4. Step 4: Simplify right side
    224.29x = 72,093.87
  5. Step 5: Solve for x
    x = 72,093.87/224.29
  6. Step 6: Final answer
    x = 321.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.