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Finding the Fourth Proportional to 271.95, 374.92 and 184.47

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Solution

The fourth proportional to 271.95, 374.92 and 184.47 is: 254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.95 : 374.92 = 184.47 : x
  2. Step 2: Convert to fraction form
    271.95/374.92 = 184.47/x
  3. Step 3: Cross multiply
    271.95x = 374.92 × 184.47
  4. Step 4: Simplify right side
    271.95x = 69,160.57
  5. Step 5: Solve for x
    x = 69,160.57/271.95
  6. Step 6: Final answer
    x = 254.31

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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.