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Finding the Fourth Proportional to 272.85, 409.34 and 80.47

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Solution

The fourth proportional to 272.85, 409.34 and 80.47 is: 120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.85 : 409.34 = 80.47 : x
  2. Step 2: Convert to fraction form
    272.85/409.34 = 80.47/x
  3. Step 3: Cross multiply
    272.85x = 409.34 × 80.47
  4. Step 4: Simplify right side
    272.85x = 32,939.59
  5. Step 5: Solve for x
    x = 32,939.59/272.85
  6. Step 6: Final answer
    x = 120.72

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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.