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Finding the Fourth Proportional to 271.74, 375.12 and 184.26

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Solution

The fourth proportional to 271.74, 375.12 and 184.26 is: 254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.74 : 375.12 = 184.26 : x
  2. Step 2: Convert to fraction form
    271.74/375.12 = 184.26/x
  3. Step 3: Cross multiply
    271.74x = 375.12 × 184.26
  4. Step 4: Simplify right side
    271.74x = 69,119.61
  5. Step 5: Solve for x
    x = 69,119.61/271.74
  6. Step 6: Final answer
    x = 254.36

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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.