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Finding the Fourth Proportional to 271.67, 374.94 and 166.78

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Solution

The fourth proportional to 271.67, 374.94 and 166.78 is: 230.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.67 : 374.94 = 166.78 : x
  2. Step 2: Convert to fraction form
    271.67/374.94 = 166.78/x
  3. Step 3: Cross multiply
    271.67x = 374.94 × 166.78
  4. Step 4: Simplify right side
    271.67x = 62,532.49
  5. Step 5: Solve for x
    x = 62,532.49/271.67
  6. Step 6: Final answer
    x = 230.18

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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.