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Finding the Fourth Proportional to 301.59, 415.97 and 203.18

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Solution

The fourth proportional to 301.59, 415.97 and 203.18 is: 280.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.59 : 415.97 = 203.18 : x
  2. Step 2: Convert to fraction form
    301.59/415.97 = 203.18/x
  3. Step 3: Cross multiply
    301.59x = 415.97 × 203.18
  4. Step 4: Simplify right side
    301.59x = 84,514.45
  5. Step 5: Solve for x
    x = 84,514.45/301.59
  6. Step 6: Final answer
    x = 280.23

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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.