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Finding the Fourth Proportional to 274.68, 412.22 and 223.92

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Solution

The fourth proportional to 274.68, 412.22 and 223.92 is: 336.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.68 : 412.22 = 223.92 : x
  2. Step 2: Convert to fraction form
    274.68/412.22 = 223.92/x
  3. Step 3: Cross multiply
    274.68x = 412.22 × 223.92
  4. Step 4: Simplify right side
    274.68x = 92,304.86
  5. Step 5: Solve for x
    x = 92,304.86/274.68
  6. Step 6: Final answer
    x = 336.05

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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.