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Finding the Fourth Proportional to 272.98, 409.57 and 110.78

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Solution

The fourth proportional to 272.98, 409.57 and 110.78 is: 166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.98 : 409.57 = 110.78 : x
  2. Step 2: Convert to fraction form
    272.98/409.57 = 110.78/x
  3. Step 3: Cross multiply
    272.98x = 409.57 × 110.78
  4. Step 4: Simplify right side
    272.98x = 45,372.16
  5. Step 5: Solve for x
    x = 45,372.16/272.98
  6. Step 6: Final answer
    x = 166.21

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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.