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Finding the Fourth Proportional to 304.31, 419.87 and 193.94

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Solution

The fourth proportional to 304.31, 419.87 and 193.94 is: 267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.31 : 419.87 = 193.94 : x
  2. Step 2: Convert to fraction form
    304.31/419.87 = 193.94/x
  3. Step 3: Cross multiply
    304.31x = 419.87 × 193.94
  4. Step 4: Simplify right side
    304.31x = 81,429.59
  5. Step 5: Solve for x
    x = 81,429.59/304.31
  6. Step 6: Final answer
    x = 267.59

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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.