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Finding the Fourth Proportional to 241.38, 362.31 and 182.61

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Solution

The fourth proportional to 241.38, 362.31 and 182.61 is: 274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.38 : 362.31 = 182.61 : x
  2. Step 2: Convert to fraction form
    241.38/362.31 = 182.61/x
  3. Step 3: Cross multiply
    241.38x = 362.31 × 182.61
  4. Step 4: Simplify right side
    241.38x = 66,160.52
  5. Step 5: Solve for x
    x = 66,160.52/241.38
  6. Step 6: Final answer
    x = 274.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.