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Finding the Fourth Proportional to 271.82, 374.94 and 177.32

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Solution

The fourth proportional to 271.82, 374.94 and 177.32 is: 244.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.82 : 374.94 = 177.32 : x
  2. Step 2: Convert to fraction form
    271.82/374.94 = 177.32/x
  3. Step 3: Cross multiply
    271.82x = 374.94 × 177.32
  4. Step 4: Simplify right side
    271.82x = 66,485.30
  5. Step 5: Solve for x
    x = 66,485.30/271.82
  6. Step 6: Final answer
    x = 244.59

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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.