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Finding the Fourth Proportional to 271.55, 407.34 and 226.22

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Solution

The fourth proportional to 271.55, 407.34 and 226.22 is: 339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.55 : 407.34 = 226.22 : x
  2. Step 2: Convert to fraction form
    271.55/407.34 = 226.22/x
  3. Step 3: Cross multiply
    271.55x = 407.34 × 226.22
  4. Step 4: Simplify right side
    271.55x = 92,147.32
  5. Step 5: Solve for x
    x = 92,147.32/271.55
  6. Step 6: Final answer
    x = 339.34

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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.