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Finding the Fourth Proportional to 294.73, 406.63 and 182.61

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Solution

The fourth proportional to 294.73, 406.63 and 182.61 is: 251.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.73 : 406.63 = 182.61 : x
  2. Step 2: Convert to fraction form
    294.73/406.63 = 182.61/x
  3. Step 3: Cross multiply
    294.73x = 406.63 × 182.61
  4. Step 4: Simplify right side
    294.73x = 74,253.79
  5. Step 5: Solve for x
    x = 74,253.79/294.73
  6. Step 6: Final answer
    x = 251.94

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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.