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Finding the Fourth Proportional to 274.98, 411.99 and 197.82

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Solution

The fourth proportional to 274.98, 411.99 and 197.82 is: 296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.98 : 411.99 = 197.82 : x
  2. Step 2: Convert to fraction form
    274.98/411.99 = 197.82/x
  3. Step 3: Cross multiply
    274.98x = 411.99 × 197.82
  4. Step 4: Simplify right side
    274.98x = 81,499.86
  5. Step 5: Solve for x
    x = 81,499.86/274.98
  6. Step 6: Final answer
    x = 296.38

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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.