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Finding the Fourth Proportional to 165.46, 246.70 and 161.26

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Solution

The fourth proportional to 165.46, 246.70 and 161.26 is: 240.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.46 : 246.70 = 161.26 : x
  2. Step 2: Convert to fraction form
    165.46/246.70 = 161.26/x
  3. Step 3: Cross multiply
    165.46x = 246.70 × 161.26
  4. Step 4: Simplify right side
    165.46x = 39,782.84
  5. Step 5: Solve for x
    x = 39,782.84/165.46
  6. Step 6: Final answer
    x = 240.44

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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.