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Finding the Fourth Proportional to 271.46, 374.50 and 166.46

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Solution

The fourth proportional to 271.46, 374.50 and 166.46 is: 229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.46 : 374.50 = 166.46 : x
  2. Step 2: Convert to fraction form
    271.46/374.50 = 166.46/x
  3. Step 3: Cross multiply
    271.46x = 374.50 × 166.46
  4. Step 4: Simplify right side
    271.46x = 62,338.85
  5. Step 5: Solve for x
    x = 62,338.85/271.46
  6. Step 6: Final answer
    x = 229.64

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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.