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Finding the Fourth Proportional to 210.94, 290.92 and 161.22

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Solution

The fourth proportional to 210.94, 290.92 and 161.22 is: 222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.94 : 290.92 = 161.22 : x
  2. Step 2: Convert to fraction form
    210.94/290.92 = 161.22/x
  3. Step 3: Cross multiply
    210.94x = 290.92 × 161.22
  4. Step 4: Simplify right side
    210.94x = 46,900.20
  5. Step 5: Solve for x
    x = 46,900.20/210.94
  6. Step 6: Final answer
    x = 222.34

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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.