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Finding the Fourth Proportional to 389.92, 585.04 and 181.76

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Solution

The fourth proportional to 389.92, 585.04 and 181.76 is: 272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.92 : 585.04 = 181.76 : x
  2. Step 2: Convert to fraction form
    389.92/585.04 = 181.76/x
  3. Step 3: Cross multiply
    389.92x = 585.04 × 181.76
  4. Step 4: Simplify right side
    389.92x = 106,336.87
  5. Step 5: Solve for x
    x = 106,336.87/389.92
  6. Step 6: Final answer
    x = 272.71

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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.