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Finding the Fourth Proportional to 224.21, 305.51 and 219.21

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Solution

The fourth proportional to 224.21, 305.51 and 219.21 is: 298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.21 : 305.51 = 219.21 : x
  2. Step 2: Convert to fraction form
    224.21/305.51 = 219.21/x
  3. Step 3: Cross multiply
    224.21x = 305.51 × 219.21
  4. Step 4: Simplify right side
    224.21x = 66,969.75
  5. Step 5: Solve for x
    x = 66,969.75/224.21
  6. Step 6: Final answer
    x = 298.70

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.