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Finding the Fourth Proportional to 306.04, 422.25 and 181.69

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Solution

The fourth proportional to 306.04, 422.25 and 181.69 is: 250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.04 : 422.25 = 181.69 : x
  2. Step 2: Convert to fraction form
    306.04/422.25 = 181.69/x
  3. Step 3: Cross multiply
    306.04x = 422.25 × 181.69
  4. Step 4: Simplify right side
    306.04x = 76,717.55
  5. Step 5: Solve for x
    x = 76,717.55/306.04
  6. Step 6: Final answer
    x = 250.68

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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.