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Finding the Fourth Proportional to 271.14, 406.14 and 162.87

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Solution

The fourth proportional to 271.14, 406.14 and 162.87 is: 243.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.14 : 406.14 = 162.87 : x
  2. Step 2: Convert to fraction form
    271.14/406.14 = 162.87/x
  3. Step 3: Cross multiply
    271.14x = 406.14 × 162.87
  4. Step 4: Simplify right side
    271.14x = 66,148.02
  5. Step 5: Solve for x
    x = 66,148.02/271.14
  6. Step 6: Final answer
    x = 243.96

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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.