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Finding the Fourth Proportional to 304.20, 419.85 and 199.10

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Solution

The fourth proportional to 304.20, 419.85 and 199.10 is: 274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.20 : 419.85 = 199.10 : x
  2. Step 2: Convert to fraction form
    304.20/419.85 = 199.10/x
  3. Step 3: Cross multiply
    304.20x = 419.85 × 199.10
  4. Step 4: Simplify right side
    304.20x = 83,590.04
  5. Step 5: Solve for x
    x = 83,590.04/304.20
  6. Step 6: Final answer
    x = 274.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.