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Finding the Fourth Proportional to 298.29, 411.71 and 181.92

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Solution

The fourth proportional to 298.29, 411.71 and 181.92 is: 251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.29 : 411.71 = 181.92 : x
  2. Step 2: Convert to fraction form
    298.29/411.71 = 181.92/x
  3. Step 3: Cross multiply
    298.29x = 411.71 × 181.92
  4. Step 4: Simplify right side
    298.29x = 74,897.37
  5. Step 5: Solve for x
    x = 74,897.37/298.29
  6. Step 6: Final answer
    x = 251.09

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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.