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Finding the Fourth Proportional to 272.74, 409.29 and 110.41

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Solution

The fourth proportional to 272.74, 409.29 and 110.41 is: 165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.74 : 409.29 = 110.41 : x
  2. Step 2: Convert to fraction form
    272.74/409.29 = 110.41/x
  3. Step 3: Cross multiply
    272.74x = 409.29 × 110.41
  4. Step 4: Simplify right side
    272.74x = 45,189.71
  5. Step 5: Solve for x
    x = 45,189.71/272.74
  6. Step 6: Final answer
    x = 165.69

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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.