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Finding the Fourth Proportional to 271.04, 371.80 and 268.07

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Solution

The fourth proportional to 271.04, 371.80 and 268.07 is: 367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.04 : 371.80 = 268.07 : x
  2. Step 2: Convert to fraction form
    271.04/371.80 = 268.07/x
  3. Step 3: Cross multiply
    271.04x = 371.80 × 268.07
  4. Step 4: Simplify right side
    271.04x = 99,668.43
  5. Step 5: Solve for x
    x = 99,668.43/271.04
  6. Step 6: Final answer
    x = 367.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.