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Finding the Fourth Proportional to 241.50, 362.04 and 119.64

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Solution

The fourth proportional to 241.50, 362.04 and 119.64 is: 179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.50 : 362.04 = 119.64 : x
  2. Step 2: Convert to fraction form
    241.50/362.04 = 119.64/x
  3. Step 3: Cross multiply
    241.50x = 362.04 × 119.64
  4. Step 4: Simplify right side
    241.50x = 43,314.47
  5. Step 5: Solve for x
    x = 43,314.47/241.50
  6. Step 6: Final answer
    x = 179.36

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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.