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Finding the Fourth Proportional to 271.42, 374.34 and 193.66

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Solution

The fourth proportional to 271.42, 374.34 and 193.66 is: 267.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.42 : 374.34 = 193.66 : x
  2. Step 2: Convert to fraction form
    271.42/374.34 = 193.66/x
  3. Step 3: Cross multiply
    271.42x = 374.34 × 193.66
  4. Step 4: Simplify right side
    271.42x = 72,494.68
  5. Step 5: Solve for x
    x = 72,494.68/271.42
  6. Step 6: Final answer
    x = 267.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.