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Finding the Fourth Proportional to 654.83, 982.24 and 161.23

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Solution

The fourth proportional to 654.83, 982.24 and 161.23 is: 241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.83 : 982.24 = 161.23 : x
  2. Step 2: Convert to fraction form
    654.83/982.24 = 161.23/x
  3. Step 3: Cross multiply
    654.83x = 982.24 × 161.23
  4. Step 4: Simplify right side
    654.83x = 158,366.56
  5. Step 5: Solve for x
    x = 158,366.56/654.83
  6. Step 6: Final answer
    x = 241.84

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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.