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Finding the Fourth Proportional to 272.74, 409.24 and 110.40

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Solution

The fourth proportional to 272.74, 409.24 and 110.40 is: 165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.74 : 409.24 = 110.40 : x
  2. Step 2: Convert to fraction form
    272.74/409.24 = 110.40/x
  3. Step 3: Cross multiply
    272.74x = 409.24 × 110.40
  4. Step 4: Simplify right side
    272.74x = 45,180.10
  5. Step 5: Solve for x
    x = 45,180.10/272.74
  6. Step 6: Final answer
    x = 165.65

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