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Finding the Fourth Proportional to 304.05, 419.46 and 193.49

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Solution

The fourth proportional to 304.05, 419.46 and 193.49 is: 266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.05 : 419.46 = 193.49 : x
  2. Step 2: Convert to fraction form
    304.05/419.46 = 193.49/x
  3. Step 3: Cross multiply
    304.05x = 419.46 × 193.49
  4. Step 4: Simplify right side
    304.05x = 81,160.07
  5. Step 5: Solve for x
    x = 81,160.07/304.05
  6. Step 6: Final answer
    x = 266.93

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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.