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Finding the Fourth Proportional to 234.63, 323.84 and 160.97

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Solution

The fourth proportional to 234.63, 323.84 and 160.97 is: 222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.63 : 323.84 = 160.97 : x
  2. Step 2: Convert to fraction form
    234.63/323.84 = 160.97/x
  3. Step 3: Cross multiply
    234.63x = 323.84 × 160.97
  4. Step 4: Simplify right side
    234.63x = 52,126.10
  5. Step 5: Solve for x
    x = 52,126.10/234.63
  6. Step 6: Final answer
    x = 222.16

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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.