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Finding the Fourth Proportional to 271.35, 374.42 and 197.44

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Solution

The fourth proportional to 271.35, 374.42 and 197.44 is: 272.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.35 : 374.42 = 197.44 : x
  2. Step 2: Convert to fraction form
    271.35/374.42 = 197.44/x
  3. Step 3: Cross multiply
    271.35x = 374.42 × 197.44
  4. Step 4: Simplify right side
    271.35x = 73,925.04
  5. Step 5: Solve for x
    x = 73,925.04/271.35
  6. Step 6: Final answer
    x = 272.43

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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.