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Finding the Fourth Proportional to 199.14, 298.32 and 166.65

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Solution

The fourth proportional to 199.14, 298.32 and 166.65 is: 249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.14 : 298.32 = 166.65 : x
  2. Step 2: Convert to fraction form
    199.14/298.32 = 166.65/x
  3. Step 3: Cross multiply
    199.14x = 298.32 × 166.65
  4. Step 4: Simplify right side
    199.14x = 49,715.03
  5. Step 5: Solve for x
    x = 49,715.03/199.14
  6. Step 6: Final answer
    x = 249.65

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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.