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Finding the Fourth Proportional to 305.40, 421.41 and 181.05

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Solution

The fourth proportional to 305.40, 421.41 and 181.05 is: 249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.40 : 421.41 = 181.05 : x
  2. Step 2: Convert to fraction form
    305.40/421.41 = 181.05/x
  3. Step 3: Cross multiply
    305.40x = 421.41 × 181.05
  4. Step 4: Simplify right side
    305.40x = 76,296.28
  5. Step 5: Solve for x
    x = 76,296.28/305.40
  6. Step 6: Final answer
    x = 249.82

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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.