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Finding the Fourth Proportional to 486, 728.86 and 161.28

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Solution

The fourth proportional to 486, 728.86 and 161.28 is: 241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    486 : 728.86 = 161.28 : x
  2. Step 2: Convert to fraction form
    486/728.86 = 161.28/x
  3. Step 3: Cross multiply
    486x = 728.86 × 161.28
  4. Step 4: Simplify right side
    486x = 117,550.54
  5. Step 5: Solve for x
    x = 117,550.54/486
  6. Step 6: Final answer
    x = 241.87

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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.