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Finding the Fourth Proportional to 271.93, 407.69 and 163.69

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Solution

The fourth proportional to 271.93, 407.69 and 163.69 is: 245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.93 : 407.69 = 163.69 : x
  2. Step 2: Convert to fraction form
    271.93/407.69 = 163.69/x
  3. Step 3: Cross multiply
    271.93x = 407.69 × 163.69
  4. Step 4: Simplify right side
    271.93x = 66,735.08
  5. Step 5: Solve for x
    x = 66,735.08/271.93
  6. Step 6: Final answer
    x = 245.41

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Why These Related Problems?

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