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Finding the Fourth Proportional to 272.66, 409.13 and 181.40

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Solution

The fourth proportional to 272.66, 409.13 and 181.40 is: 272.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.66 : 409.13 = 181.40 : x
  2. Step 2: Convert to fraction form
    272.66/409.13 = 181.40/x
  3. Step 3: Cross multiply
    272.66x = 409.13 × 181.40
  4. Step 4: Simplify right side
    272.66x = 74,215.61
  5. Step 5: Solve for x
    x = 74,215.61/272.66
  6. Step 6: Final answer
    x = 272.19

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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.