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Finding the Fourth Proportional to 199.10, 299.75 and 182.09

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Solution

The fourth proportional to 199.10, 299.75 and 182.09 is: 274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.10 : 299.75 = 182.09 : x
  2. Step 2: Convert to fraction form
    199.10/299.75 = 182.09/x
  3. Step 3: Cross multiply
    199.10x = 299.75 × 182.09
  4. Step 4: Simplify right side
    199.10x = 54,579.75
  5. Step 5: Solve for x
    x = 54,579.75/199.10
  6. Step 6: Final answer
    x = 274.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.