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Finding the Fourth Proportional to 271.47, 407.17 and 109.16

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Solution

The fourth proportional to 271.47, 407.17 and 109.16 is: 163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.47 : 407.17 = 109.16 : x
  2. Step 2: Convert to fraction form
    271.47/407.17 = 109.16/x
  3. Step 3: Cross multiply
    271.47x = 407.17 × 109.16
  4. Step 4: Simplify right side
    271.47x = 44,446.68
  5. Step 5: Solve for x
    x = 44,446.68/271.47
  6. Step 6: Final answer
    x = 163.73

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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.