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Finding the Fourth Proportional to 272.54, 408.78 and 149.10

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Solution

The fourth proportional to 272.54, 408.78 and 149.10 is: 223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.54 : 408.78 = 149.10 : x
  2. Step 2: Convert to fraction form
    272.54/408.78 = 149.10/x
  3. Step 3: Cross multiply
    272.54x = 408.78 × 149.10
  4. Step 4: Simplify right side
    272.54x = 60,949.10
  5. Step 5: Solve for x
    x = 60,949.10/272.54
  6. Step 6: Final answer
    x = 223.63

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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.