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Finding the Fourth Proportional to 165.40, 246.69 and 161.80

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Solution

The fourth proportional to 165.40, 246.69 and 161.80 is: 241.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.40 : 246.69 = 161.80 : x
  2. Step 2: Convert to fraction form
    165.40/246.69 = 161.80/x
  3. Step 3: Cross multiply
    165.40x = 246.69 × 161.80
  4. Step 4: Simplify right side
    165.40x = 39,914.44
  5. Step 5: Solve for x
    x = 39,914.44/165.40
  6. Step 6: Final answer
    x = 241.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.