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Finding the Fourth Proportional to 301.52, 416.16 and 203.44

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Solution

The fourth proportional to 301.52, 416.16 and 203.44 is: 280.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.52 : 416.16 = 203.44 : x
  2. Step 2: Convert to fraction form
    301.52/416.16 = 203.44/x
  3. Step 3: Cross multiply
    301.52x = 416.16 × 203.44
  4. Step 4: Simplify right side
    301.52x = 84,663.59
  5. Step 5: Solve for x
    x = 84,663.59/301.52
  6. Step 6: Final answer
    x = 280.79

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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.