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Finding the Fourth Proportional to 271.27, 374.29 and 166.37

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Solution

The fourth proportional to 271.27, 374.29 and 166.37 is: 229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.27 : 374.29 = 166.37 : x
  2. Step 2: Convert to fraction form
    271.27/374.29 = 166.37/x
  3. Step 3: Cross multiply
    271.27x = 374.29 × 166.37
  4. Step 4: Simplify right side
    271.27x = 62,270.63
  5. Step 5: Solve for x
    x = 62,270.63/271.27
  6. Step 6: Final answer
    x = 229.56

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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.