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Finding the Fourth Proportional to 271.24, 374.22 and 222.10

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Solution

The fourth proportional to 271.24, 374.22 and 222.10 is: 306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.24 : 374.22 = 222.10 : x
  2. Step 2: Convert to fraction form
    271.24/374.22 = 222.10/x
  3. Step 3: Cross multiply
    271.24x = 374.22 × 222.10
  4. Step 4: Simplify right side
    271.24x = 83,114.26
  5. Step 5: Solve for x
    x = 83,114.26/271.24
  6. Step 6: Final answer
    x = 306.42

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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.