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Finding the Fourth Proportional to 271.55, 374.68 and 166.67

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Solution

The fourth proportional to 271.55, 374.68 and 166.67 is: 229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.55 : 374.68 = 166.67 : x
  2. Step 2: Convert to fraction form
    271.55/374.68 = 166.67/x
  3. Step 3: Cross multiply
    271.55x = 374.68 × 166.67
  4. Step 4: Simplify right side
    271.55x = 62,447.92
  5. Step 5: Solve for x
    x = 62,447.92/271.55
  6. Step 6: Final answer
    x = 229.97

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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.