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Finding the Fourth Proportional to 199.54, 298.84 and 182.38

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Solution

The fourth proportional to 199.54, 298.84 and 182.38 is: 273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.54 : 298.84 = 182.38 : x
  2. Step 2: Convert to fraction form
    199.54/298.84 = 182.38/x
  3. Step 3: Cross multiply
    199.54x = 298.84 × 182.38
  4. Step 4: Simplify right side
    199.54x = 54,502.44
  5. Step 5: Solve for x
    x = 54,502.44/199.54
  6. Step 6: Final answer
    x = 273.14

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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.