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Finding the Fourth Proportional to 271.57, 374.69 and 161

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Solution

The fourth proportional to 271.57, 374.69 and 161 is: 222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.57 : 374.69 = 161 : x
  2. Step 2: Convert to fraction form
    271.57/374.69 = 161/x
  3. Step 3: Cross multiply
    271.57x = 374.69 × 161
  4. Step 4: Simplify right side
    271.57x = 60,325.09
  5. Step 5: Solve for x
    x = 60,325.09/271.57
  6. Step 6: Final answer
    x = 222.13

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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.