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Finding the Fourth Proportional to 271.74, 374.86 and 261.26

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Solution

The fourth proportional to 271.74, 374.86 and 261.26 is: 360.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.74 : 374.86 = 261.26 : x
  2. Step 2: Convert to fraction form
    271.74/374.86 = 261.26/x
  3. Step 3: Cross multiply
    271.74x = 374.86 × 261.26
  4. Step 4: Simplify right side
    271.74x = 97,932.74
  5. Step 5: Solve for x
    x = 97,932.74/271.74
  6. Step 6: Final answer
    x = 360.39

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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.