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Finding the Fourth Proportional to 294.73, 406.74 and 184.12

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Solution

The fourth proportional to 294.73, 406.74 and 184.12 is: 254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.73 : 406.74 = 184.12 : x
  2. Step 2: Convert to fraction form
    294.73/406.74 = 184.12/x
  3. Step 3: Cross multiply
    294.73x = 406.74 × 184.12
  4. Step 4: Simplify right side
    294.73x = 74,888.97
  5. Step 5: Solve for x
    x = 74,888.97/294.73
  6. Step 6: Final answer
    x = 254.09

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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.