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Finding the Fourth Proportional to 271.92, 375.30 and 184.56

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Solution

The fourth proportional to 271.92, 375.30 and 184.56 is: 254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.92 : 375.30 = 184.56 : x
  2. Step 2: Convert to fraction form
    271.92/375.30 = 184.56/x
  3. Step 3: Cross multiply
    271.92x = 375.30 × 184.56
  4. Step 4: Simplify right side
    271.92x = 69,265.37
  5. Step 5: Solve for x
    x = 69,265.37/271.92
  6. Step 6: Final answer
    x = 254.73

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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.