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Finding the Fourth Proportional to 305.89, 421.98 and 181.49

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Solution

The fourth proportional to 305.89, 421.98 and 181.49 is: 250.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.89 : 421.98 = 181.49 : x
  2. Step 2: Convert to fraction form
    305.89/421.98 = 181.49/x
  3. Step 3: Cross multiply
    305.89x = 421.98 × 181.49
  4. Step 4: Simplify right side
    305.89x = 76,585.15
  5. Step 5: Solve for x
    x = 76,585.15/305.89
  6. Step 6: Final answer
    x = 250.37

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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.