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Finding the Fourth Proportional to 294.25, 406.06 and 161.48

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Solution

The fourth proportional to 294.25, 406.06 and 161.48 is: 222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.25 : 406.06 = 161.48 : x
  2. Step 2: Convert to fraction form
    294.25/406.06 = 161.48/x
  3. Step 3: Cross multiply
    294.25x = 406.06 × 161.48
  4. Step 4: Simplify right side
    294.25x = 65,570.57
  5. Step 5: Solve for x
    x = 65,570.57/294.25
  6. Step 6: Final answer
    x = 222.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.