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Finding the Fourth Proportional to 271.44, 407.19 and 106.86

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Solution

The fourth proportional to 271.44, 407.19 and 106.86 is: 160.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.44 : 407.19 = 106.86 : x
  2. Step 2: Convert to fraction form
    271.44/407.19 = 106.86/x
  3. Step 3: Cross multiply
    271.44x = 407.19 × 106.86
  4. Step 4: Simplify right side
    271.44x = 43,512.32
  5. Step 5: Solve for x
    x = 43,512.32/271.44
  6. Step 6: Final answer
    x = 160.30

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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.