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Finding the Fourth Proportional to 274.16, 411.84 and 222.88

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Solution

The fourth proportional to 274.16, 411.84 and 222.88 is: 334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.16 : 411.84 = 222.88 : x
  2. Step 2: Convert to fraction form
    274.16/411.84 = 222.88/x
  3. Step 3: Cross multiply
    274.16x = 411.84 × 222.88
  4. Step 4: Simplify right side
    274.16x = 91,790.90
  5. Step 5: Solve for x
    x = 91,790.90/274.16
  6. Step 6: Final answer
    x = 334.81

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Why These Related Problems?

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