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Finding the Fourth Proportional to 271.13, 406.67 and 108.93

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Solution

The fourth proportional to 271.13, 406.67 and 108.93 is: 163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.13 : 406.67 = 108.93 : x
  2. Step 2: Convert to fraction form
    271.13/406.67 = 108.93/x
  3. Step 3: Cross multiply
    271.13x = 406.67 × 108.93
  4. Step 4: Simplify right side
    271.13x = 44,298.02
  5. Step 5: Solve for x
    x = 44,298.02/271.13
  6. Step 6: Final answer
    x = 163.38

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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.