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Finding the Fourth Proportional to 210.49, 290.09 and 161.48

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Solution

The fourth proportional to 210.49, 290.09 and 161.48 is: 222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.49 : 290.09 = 161.48 : x
  2. Step 2: Convert to fraction form
    210.49/290.09 = 161.48/x
  3. Step 3: Cross multiply
    210.49x = 290.09 × 161.48
  4. Step 4: Simplify right side
    210.49x = 46,843.73
  5. Step 5: Solve for x
    x = 46,843.73/210.49
  6. Step 6: Final answer
    x = 222.55

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