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Finding the Fourth Proportional to 305.85, 422.06 and 181.48

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Solution

The fourth proportional to 305.85, 422.06 and 181.48 is: 250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.85 : 422.06 = 181.48 : x
  2. Step 2: Convert to fraction form
    305.85/422.06 = 181.48/x
  3. Step 3: Cross multiply
    305.85x = 422.06 × 181.48
  4. Step 4: Simplify right side
    305.85x = 76,595.30
  5. Step 5: Solve for x
    x = 76,595.30/305.85
  6. Step 6: Final answer
    x = 250.44

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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.