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Finding the Fourth Proportional to 234.44, 323.56 and 172.48

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Solution

The fourth proportional to 234.44, 323.56 and 172.48 is: 238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.44 : 323.56 = 172.48 : x
  2. Step 2: Convert to fraction form
    234.44/323.56 = 172.48/x
  3. Step 3: Cross multiply
    234.44x = 323.56 × 172.48
  4. Step 4: Simplify right side
    234.44x = 55,807.63
  5. Step 5: Solve for x
    x = 55,807.63/234.44
  6. Step 6: Final answer
    x = 238.05

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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.