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Finding the Fourth Proportional to 271.42, 406.87 and 194.52

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Solution

The fourth proportional to 271.42, 406.87 and 194.52 is: 291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.42 : 406.87 = 194.52 : x
  2. Step 2: Convert to fraction form
    271.42/406.87 = 194.52/x
  3. Step 3: Cross multiply
    271.42x = 406.87 × 194.52
  4. Step 4: Simplify right side
    271.42x = 79,144.35
  5. Step 5: Solve for x
    x = 79,144.35/271.42
  6. Step 6: Final answer
    x = 291.59

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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.