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Finding the Fourth Proportional to 234.21, 323.29 and 160.74

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Solution

The fourth proportional to 234.21, 323.29 and 160.74 is: 221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.21 : 323.29 = 160.74 : x
  2. Step 2: Convert to fraction form
    234.21/323.29 = 160.74/x
  3. Step 3: Cross multiply
    234.21x = 323.29 × 160.74
  4. Step 4: Simplify right side
    234.21x = 51,965.23
  5. Step 5: Solve for x
    x = 51,965.23/234.21
  6. Step 6: Final answer
    x = 221.87

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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.