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Finding the Fourth Proportional to 271.82, 407.46 and 109.38

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Solution

The fourth proportional to 271.82, 407.46 and 109.38 is: 163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.82 : 407.46 = 109.38 : x
  2. Step 2: Convert to fraction form
    271.82/407.46 = 109.38/x
  3. Step 3: Cross multiply
    271.82x = 407.46 × 109.38
  4. Step 4: Simplify right side
    271.82x = 44,569.91
  5. Step 5: Solve for x
    x = 44,569.91/271.82
  6. Step 6: Final answer
    x = 163.97

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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.