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Finding the Fourth Proportional to 161.21, 241.69 and 130.39

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Solution

The fourth proportional to 161.21, 241.69 and 130.39 is: 195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.21 : 241.69 = 130.39 : x
  2. Step 2: Convert to fraction form
    161.21/241.69 = 130.39/x
  3. Step 3: Cross multiply
    161.21x = 241.69 × 130.39
  4. Step 4: Simplify right side
    161.21x = 31,515.39
  5. Step 5: Solve for x
    x = 31,515.39/161.21
  6. Step 6: Final answer
    x = 195.50

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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.