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Finding the Fourth Proportional to 301.68, 416.22 and 203.49

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Solution

The fourth proportional to 301.68, 416.22 and 203.49 is: 280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.68 : 416.22 = 203.49 : x
  2. Step 2: Convert to fraction form
    301.68/416.22 = 203.49/x
  3. Step 3: Cross multiply
    301.68x = 416.22 × 203.49
  4. Step 4: Simplify right side
    301.68x = 84,696.61
  5. Step 5: Solve for x
    x = 84,696.61/301.68
  6. Step 6: Final answer
    x = 280.75

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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.