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Finding the Fourth Proportional to 271.16, 374.13 and 196.41

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Solution

The fourth proportional to 271.16, 374.13 and 196.41 is: 270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.16 : 374.13 = 196.41 : x
  2. Step 2: Convert to fraction form
    271.16/374.13 = 196.41/x
  3. Step 3: Cross multiply
    271.16x = 374.13 × 196.41
  4. Step 4: Simplify right side
    271.16x = 73,482.87
  5. Step 5: Solve for x
    x = 73,482.87/271.16
  6. Step 6: Final answer
    x = 270.99

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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.