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Finding the Fourth Proportional to 241.80, 362.53 and 119.80

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Solution

The fourth proportional to 241.80, 362.53 and 119.80 is: 179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.80 : 362.53 = 119.80 : x
  2. Step 2: Convert to fraction form
    241.80/362.53 = 119.80/x
  3. Step 3: Cross multiply
    241.80x = 362.53 × 119.80
  4. Step 4: Simplify right side
    241.80x = 43,431.09
  5. Step 5: Solve for x
    x = 43,431.09/241.80
  6. Step 6: Final answer
    x = 179.62

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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.