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Finding the Fourth Proportional to 234.14, 323.18 and 160.44

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Solution

The fourth proportional to 234.14, 323.18 and 160.44 is: 221.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.14 : 323.18 = 160.44 : x
  2. Step 2: Convert to fraction form
    234.14/323.18 = 160.44/x
  3. Step 3: Cross multiply
    234.14x = 323.18 × 160.44
  4. Step 4: Simplify right side
    234.14x = 51,851.00
  5. Step 5: Solve for x
    x = 51,851.00/234.14
  6. Step 6: Final answer
    x = 221.45

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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.