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Finding the Fourth Proportional to 271.44, 374.61 and 222.18

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Solution

The fourth proportional to 271.44, 374.61 and 222.18 is: 306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.44 : 374.61 = 222.18 : x
  2. Step 2: Convert to fraction form
    271.44/374.61 = 222.18/x
  3. Step 3: Cross multiply
    271.44x = 374.61 × 222.18
  4. Step 4: Simplify right side
    271.44x = 83,230.85
  5. Step 5: Solve for x
    x = 83,230.85/271.44
  6. Step 6: Final answer
    x = 306.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.