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Finding the Fourth Proportional to 271.40, 374.46 and 165.11

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Solution

The fourth proportional to 271.40, 374.46 and 165.11 is: 227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.40 : 374.46 = 165.11 : x
  2. Step 2: Convert to fraction form
    271.40/374.46 = 165.11/x
  3. Step 3: Cross multiply
    271.40x = 374.46 × 165.11
  4. Step 4: Simplify right side
    271.40x = 61,825.30
  5. Step 5: Solve for x
    x = 61,825.30/271.40
  6. Step 6: Final answer
    x = 227.80

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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.