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Finding the Fourth Proportional to 271.15, 374.27 and 177.73

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Solution

The fourth proportional to 271.15, 374.27 and 177.73 is: 245.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.15 : 374.27 = 177.73 : x
  2. Step 2: Convert to fraction form
    271.15/374.27 = 177.73/x
  3. Step 3: Cross multiply
    271.15x = 374.27 × 177.73
  4. Step 4: Simplify right side
    271.15x = 66,519.01
  5. Step 5: Solve for x
    x = 66,519.01/271.15
  6. Step 6: Final answer
    x = 245.32

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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.