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Finding the Fourth Proportional to 224.82, 337.26 and 214.44

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Solution

The fourth proportional to 224.82, 337.26 and 214.44 is: 321.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.82 : 337.26 = 214.44 : x
  2. Step 2: Convert to fraction form
    224.82/337.26 = 214.44/x
  3. Step 3: Cross multiply
    224.82x = 337.26 × 214.44
  4. Step 4: Simplify right side
    224.82x = 72,322.03
  5. Step 5: Solve for x
    x = 72,322.03/224.82
  6. Step 6: Final answer
    x = 321.69

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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.