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Finding the Fourth Proportional to 224.22, 334.59 and 217.74

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Solution

The fourth proportional to 224.22, 334.59 and 217.74 is: 324.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.22 : 334.59 = 217.74 : x
  2. Step 2: Convert to fraction form
    224.22/334.59 = 217.74/x
  3. Step 3: Cross multiply
    224.22x = 334.59 × 217.74
  4. Step 4: Simplify right side
    224.22x = 72,853.63
  5. Step 5: Solve for x
    x = 72,853.63/224.22
  6. Step 6: Final answer
    x = 324.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.