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Finding the Fourth Proportional to 272.89, 409.52 and 108.46

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Solution

The fourth proportional to 272.89, 409.52 and 108.46 is: 162.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.89 : 409.52 = 108.46 : x
  2. Step 2: Convert to fraction form
    272.89/409.52 = 108.46/x
  3. Step 3: Cross multiply
    272.89x = 409.52 × 108.46
  4. Step 4: Simplify right side
    272.89x = 44,416.54
  5. Step 5: Solve for x
    x = 44,416.54/272.89
  6. Step 6: Final answer
    x = 162.76

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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.