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Finding the Fourth Proportional to 301.41, 415.92 and 203.30

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Solution

The fourth proportional to 301.41, 415.92 and 203.30 is: 280.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.41 : 415.92 = 203.30 : x
  2. Step 2: Convert to fraction form
    301.41/415.92 = 203.30/x
  3. Step 3: Cross multiply
    301.41x = 415.92 × 203.30
  4. Step 4: Simplify right side
    301.41x = 84,556.02
  5. Step 5: Solve for x
    x = 84,556.02/301.41
  6. Step 6: Final answer
    x = 280.53

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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.