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Finding the Fourth Proportional to 272.54, 409.13 and 181.41

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Solution

The fourth proportional to 272.54, 409.13 and 181.41 is: 272.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.54 : 409.13 = 181.41 : x
  2. Step 2: Convert to fraction form
    272.54/409.13 = 181.41/x
  3. Step 3: Cross multiply
    272.54x = 409.13 × 181.41
  4. Step 4: Simplify right side
    272.54x = 74,219.37
  5. Step 5: Solve for x
    x = 74,219.37/272.54
  6. Step 6: Final answer
    x = 272.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.