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Finding the Fourth Proportional to 301.78, 416.38 and 203.82

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Solution

The fourth proportional to 301.78, 416.38 and 203.82 is: 281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.78 : 416.38 = 203.82 : x
  2. Step 2: Convert to fraction form
    301.78/416.38 = 203.82/x
  3. Step 3: Cross multiply
    301.78x = 416.38 × 203.82
  4. Step 4: Simplify right side
    301.78x = 84,866.57
  5. Step 5: Solve for x
    x = 84,866.57/301.78
  6. Step 6: Final answer
    x = 281.22

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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.