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Finding the Fourth Proportional to 272.86, 409.46 and 110.53

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Solution

The fourth proportional to 272.86, 409.46 and 110.53 is: 165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.86 : 409.46 = 110.53 : x
  2. Step 2: Convert to fraction form
    272.86/409.46 = 110.53/x
  3. Step 3: Cross multiply
    272.86x = 409.46 × 110.53
  4. Step 4: Simplify right side
    272.86x = 45,257.57
  5. Step 5: Solve for x
    x = 45,257.57/272.86
  6. Step 6: Final answer
    x = 165.86

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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.