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Finding the Fourth Proportional to 271.02, 371.57 and 258.27

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Solution

The fourth proportional to 271.02, 371.57 and 258.27 is: 354.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.02 : 371.57 = 258.27 : x
  2. Step 2: Convert to fraction form
    271.02/371.57 = 258.27/x
  3. Step 3: Cross multiply
    271.02x = 371.57 × 258.27
  4. Step 4: Simplify right side
    271.02x = 95,965.38
  5. Step 5: Solve for x
    x = 95,965.38/271.02
  6. Step 6: Final answer
    x = 354.09

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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.