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Finding the Fourth Proportional to 294.73, 406.92 and 184.36

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Solution

The fourth proportional to 294.73, 406.92 and 184.36 is: 254.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.73 : 406.92 = 184.36 : x
  2. Step 2: Convert to fraction form
    294.73/406.92 = 184.36/x
  3. Step 3: Cross multiply
    294.73x = 406.92 × 184.36
  4. Step 4: Simplify right side
    294.73x = 75,019.77
  5. Step 5: Solve for x
    x = 75,019.77/294.73
  6. Step 6: Final answer
    x = 254.54

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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.