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Finding the Fourth Proportional to 210.63, 290.47 and 161.43

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Solution

The fourth proportional to 210.63, 290.47 and 161.43 is: 222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.63 : 290.47 = 161.43 : x
  2. Step 2: Convert to fraction form
    210.63/290.47 = 161.43/x
  3. Step 3: Cross multiply
    210.63x = 290.47 × 161.43
  4. Step 4: Simplify right side
    210.63x = 46,890.57
  5. Step 5: Solve for x
    x = 46,890.57/210.63
  6. Step 6: Final answer
    x = 222.62

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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.