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Finding the Fourth Proportional to 199.04, 300.08 and 185.12

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Solution

The fourth proportional to 199.04, 300.08 and 185.12 is: 279.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.04 : 300.08 = 185.12 : x
  2. Step 2: Convert to fraction form
    199.04/300.08 = 185.12/x
  3. Step 3: Cross multiply
    199.04x = 300.08 × 185.12
  4. Step 4: Simplify right side
    199.04x = 55,550.81
  5. Step 5: Solve for x
    x = 55,550.81/199.04
  6. Step 6: Final answer
    x = 279.09

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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.