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Finding the Fourth Proportional to 305.38, 421.37 and 181.02

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Solution

The fourth proportional to 305.38, 421.37 and 181.02 is: 249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.38 : 421.37 = 181.02 : x
  2. Step 2: Convert to fraction form
    305.38/421.37 = 181.02/x
  3. Step 3: Cross multiply
    305.38x = 421.37 × 181.02
  4. Step 4: Simplify right side
    305.38x = 76,273.39
  5. Step 5: Solve for x
    x = 76,273.39/305.38
  6. Step 6: Final answer
    x = 249.77

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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.