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Finding the Fourth Proportional to 243.74, 335.49 and 181.46

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Solution

The fourth proportional to 243.74, 335.49 and 181.46 is: 249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.74 : 335.49 = 181.46 : x
  2. Step 2: Convert to fraction form
    243.74/335.49 = 181.46/x
  3. Step 3: Cross multiply
    243.74x = 335.49 × 181.46
  4. Step 4: Simplify right side
    243.74x = 60,878.02
  5. Step 5: Solve for x
    x = 60,878.02/243.74
  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.