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Finding the Fourth Proportional to 226.61, 311.99 and 197.50

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Solution

The fourth proportional to 226.61, 311.99 and 197.50 is: 271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.61 : 311.99 = 197.50 : x
  2. Step 2: Convert to fraction form
    226.61/311.99 = 197.50/x
  3. Step 3: Cross multiply
    226.61x = 311.99 × 197.50
  4. Step 4: Simplify right side
    226.61x = 61,618.03
  5. Step 5: Solve for x
    x = 61,618.03/226.61
  6. Step 6: Final answer
    x = 271.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.