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Finding the Fourth Proportional to 210.54, 290.39 and 161.33

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Solution

The fourth proportional to 210.54, 290.39 and 161.33 is: 222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.54 : 290.39 = 161.33 : x
  2. Step 2: Convert to fraction form
    210.54/290.39 = 161.33/x
  3. Step 3: Cross multiply
    210.54x = 290.39 × 161.33
  4. Step 4: Simplify right side
    210.54x = 46,849.75
  5. Step 5: Solve for x
    x = 46,849.75/210.54
  6. Step 6: Final answer
    x = 222.52

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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.