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Finding the Fourth Proportional to 272.50, 408.28 and 195.08

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Solution

The fourth proportional to 272.50, 408.28 and 195.08 is: 292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.50 : 408.28 = 195.08 : x
  2. Step 2: Convert to fraction form
    272.50/408.28 = 195.08/x
  3. Step 3: Cross multiply
    272.50x = 408.28 × 195.08
  4. Step 4: Simplify right side
    272.50x = 79,648.27
  5. Step 5: Solve for x
    x = 79,648.27/272.50
  6. Step 6: Final answer
    x = 292.29

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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.