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Finding the Fourth Proportional to 272.49, 408.66 and 194.81

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Solution

The fourth proportional to 272.49, 408.66 and 194.81 is: 292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.49 : 408.66 = 194.81 : x
  2. Step 2: Convert to fraction form
    272.49/408.66 = 194.81/x
  3. Step 3: Cross multiply
    272.49x = 408.66 × 194.81
  4. Step 4: Simplify right side
    272.49x = 79,611.05
  5. Step 5: Solve for x
    x = 79,611.05/272.49
  6. Step 6: Final answer
    x = 292.16

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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.