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Finding the Fourth Proportional to 271.57, 407.49 and 109.24

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Solution

The fourth proportional to 271.57, 407.49 and 109.24 is: 163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.57 : 407.49 = 109.24 : x
  2. Step 2: Convert to fraction form
    271.57/407.49 = 109.24/x
  3. Step 3: Cross multiply
    271.57x = 407.49 × 109.24
  4. Step 4: Simplify right side
    271.57x = 44,514.21
  5. Step 5: Solve for x
    x = 44,514.21/271.57
  6. Step 6: Final answer
    x = 163.91

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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.