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Finding the Fourth Proportional to 161.03, 241.09 and 144.63

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Solution

The fourth proportional to 161.03, 241.09 and 144.63 is: 216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.03 : 241.09 = 144.63 : x
  2. Step 2: Convert to fraction form
    161.03/241.09 = 144.63/x
  3. Step 3: Cross multiply
    161.03x = 241.09 × 144.63
  4. Step 4: Simplify right side
    161.03x = 34,868.49
  5. Step 5: Solve for x
    x = 34,868.49/161.03
  6. Step 6: Final answer
    x = 216.53

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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.