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Finding the Fourth Proportional to 241.71, 362.29 and 119.71

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Solution

The fourth proportional to 241.71, 362.29 and 119.71 is: 179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.71 : 362.29 = 119.71 : x
  2. Step 2: Convert to fraction form
    241.71/362.29 = 119.71/x
  3. Step 3: Cross multiply
    241.71x = 362.29 × 119.71
  4. Step 4: Simplify right side
    241.71x = 43,369.74
  5. Step 5: Solve for x
    x = 43,369.74/241.71
  6. Step 6: Final answer
    x = 179.43

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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.