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Finding the Fourth Proportional to 309.92, 465.12 and 181.76

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Solution

The fourth proportional to 309.92, 465.12 and 181.76 is: 272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.92 : 465.12 = 181.76 : x
  2. Step 2: Convert to fraction form
    309.92/465.12 = 181.76/x
  3. Step 3: Cross multiply
    309.92x = 465.12 × 181.76
  4. Step 4: Simplify right side
    309.92x = 84,540.21
  5. Step 5: Solve for x
    x = 84,540.21/309.92
  6. Step 6: Final answer
    x = 272.78

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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.