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Finding the Fourth Proportional to 271.41, 374.24 and 197.76

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Solution

The fourth proportional to 271.41, 374.24 and 197.76 is: 272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.41 : 374.24 = 197.76 : x
  2. Step 2: Convert to fraction form
    271.41/374.24 = 197.76/x
  3. Step 3: Cross multiply
    271.41x = 374.24 × 197.76
  4. Step 4: Simplify right side
    271.41x = 74,008.71
  5. Step 5: Solve for x
    x = 74,008.71/271.41
  6. Step 6: Final answer
    x = 272.68

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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.