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Finding the Fourth Proportional to 271.26, 374.35 and 160.74

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Solution

The fourth proportional to 271.26, 374.35 and 160.74 is: 221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.26 : 374.35 = 160.74 : x
  2. Step 2: Convert to fraction form
    271.26/374.35 = 160.74/x
  3. Step 3: Cross multiply
    271.26x = 374.35 × 160.74
  4. Step 4: Simplify right side
    271.26x = 60,172.62
  5. Step 5: Solve for x
    x = 60,172.62/271.26
  6. Step 6: Final answer
    x = 221.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.