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Finding the Fourth Proportional to 271.70, 374.99 and 166.85

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Solution

The fourth proportional to 271.70, 374.99 and 166.85 is: 230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.70 : 374.99 = 166.85 : x
  2. Step 2: Convert to fraction form
    271.70/374.99 = 166.85/x
  3. Step 3: Cross multiply
    271.70x = 374.99 × 166.85
  4. Step 4: Simplify right side
    271.70x = 62,567.08
  5. Step 5: Solve for x
    x = 62,567.08/271.70
  6. Step 6: Final answer
    x = 230.28

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