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Finding the Fourth Proportional to 301.73, 451.78 and 179.82

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Solution

The fourth proportional to 301.73, 451.78 and 179.82 is: 269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.73 : 451.78 = 179.82 : x
  2. Step 2: Convert to fraction form
    301.73/451.78 = 179.82/x
  3. Step 3: Cross multiply
    301.73x = 451.78 × 179.82
  4. Step 4: Simplify right side
    301.73x = 81,238.63
  5. Step 5: Solve for x
    x = 81,238.63/301.73
  6. Step 6: Final answer
    x = 269.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.