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Finding the Fourth Proportional to 271.44, 407.86 and 231.82

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Solution

The fourth proportional to 271.44, 407.86 and 231.82 is: 348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.44 : 407.86 = 231.82 : x
  2. Step 2: Convert to fraction form
    271.44/407.86 = 231.82/x
  3. Step 3: Cross multiply
    271.44x = 407.86 × 231.82
  4. Step 4: Simplify right side
    271.44x = 94,550.11
  5. Step 5: Solve for x
    x = 94,550.11/271.44
  6. Step 6: Final answer
    x = 348.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.