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Finding the Fourth Proportional to 304.43, 419.99 and 194.04

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Solution

The fourth proportional to 304.43, 419.99 and 194.04 is: 267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.43 : 419.99 = 194.04 : x
  2. Step 2: Convert to fraction form
    304.43/419.99 = 194.04/x
  3. Step 3: Cross multiply
    304.43x = 419.99 × 194.04
  4. Step 4: Simplify right side
    304.43x = 81,493.89
  5. Step 5: Solve for x
    x = 81,493.89/304.43
  6. Step 6: Final answer
    x = 267.70

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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.