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Finding the Fourth Proportional to 306.32, 422.73 and 181.99

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Solution

The fourth proportional to 306.32, 422.73 and 181.99 is: 251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.32 : 422.73 = 181.99 : x
  2. Step 2: Convert to fraction form
    306.32/422.73 = 181.99/x
  3. Step 3: Cross multiply
    306.32x = 422.73 × 181.99
  4. Step 4: Simplify right side
    306.32x = 76,929.61
  5. Step 5: Solve for x
    x = 76,929.61/306.32
  6. Step 6: Final answer
    x = 251.14

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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.