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Finding the Fourth Proportional to 272.90, 409.38 and 110.54

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Solution

The fourth proportional to 272.90, 409.38 and 110.54 is: 165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.90 : 409.38 = 110.54 : x
  2. Step 2: Convert to fraction form
    272.90/409.38 = 110.54/x
  3. Step 3: Cross multiply
    272.90x = 409.38 × 110.54
  4. Step 4: Simplify right side
    272.90x = 45,252.87
  5. Step 5: Solve for x
    x = 45,252.87/272.90
  6. Step 6: Final answer
    x = 165.82

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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.