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Finding the Fourth Proportional to 199.67, 299.82 and 165.65

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Solution

The fourth proportional to 199.67, 299.82 and 165.65 is: 248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.67 : 299.82 = 165.65 : x
  2. Step 2: Convert to fraction form
    199.67/299.82 = 165.65/x
  3. Step 3: Cross multiply
    199.67x = 299.82 × 165.65
  4. Step 4: Simplify right side
    199.67x = 49,665.18
  5. Step 5: Solve for x
    x = 49,665.18/199.67
  6. Step 6: Final answer
    x = 248.74

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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.