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Finding the Fourth Proportional to 271.40, 407.07 and 163.85

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Solution

The fourth proportional to 271.40, 407.07 and 163.85 is: 245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.40 : 407.07 = 163.85 : x
  2. Step 2: Convert to fraction form
    271.40/407.07 = 163.85/x
  3. Step 3: Cross multiply
    271.40x = 407.07 × 163.85
  4. Step 4: Simplify right side
    271.40x = 66,696.38
  5. Step 5: Solve for x
    x = 66,696.38/271.40
  6. Step 6: Final answer
    x = 245.75

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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.