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Finding the Fourth Proportional to 234.47, 323.27 and 160.66

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Solution

The fourth proportional to 234.47, 323.27 and 160.66 is: 221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.47 : 323.27 = 160.66 : x
  2. Step 2: Convert to fraction form
    234.47/323.27 = 160.66/x
  3. Step 3: Cross multiply
    234.47x = 323.27 × 160.66
  4. Step 4: Simplify right side
    234.47x = 51,935.55
  5. Step 5: Solve for x
    x = 51,935.55/234.47
  6. Step 6: Final answer
    x = 221.50

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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.