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Finding the Fourth Proportional to 271.89, 405.91 and 230.90

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Solution

The fourth proportional to 271.89, 405.91 and 230.90 is: 344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.89 : 405.91 = 230.90 : x
  2. Step 2: Convert to fraction form
    271.89/405.91 = 230.90/x
  3. Step 3: Cross multiply
    271.89x = 405.91 × 230.90
  4. Step 4: Simplify right side
    271.89x = 93,722.88
  5. Step 5: Solve for x
    x = 93,722.88/271.89
  6. Step 6: Final answer
    x = 344.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.