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Finding the Fourth Proportional to 274.89, 411.98 and 205.87

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Solution

The fourth proportional to 274.89, 411.98 and 205.87 is: 308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.89 : 411.98 = 205.87 : x
  2. Step 2: Convert to fraction form
    274.89/411.98 = 205.87/x
  3. Step 3: Cross multiply
    274.89x = 411.98 × 205.87
  4. Step 4: Simplify right side
    274.89x = 84,815.87
  5. Step 5: Solve for x
    x = 84,815.87/274.89
  6. Step 6: Final answer
    x = 308.54

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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.