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Finding the Fourth Proportional to 234.88, 323.96 and 188.44

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Solution

The fourth proportional to 234.88, 323.96 and 188.44 is: 259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.88 : 323.96 = 188.44 : x
  2. Step 2: Convert to fraction form
    234.88/323.96 = 188.44/x
  3. Step 3: Cross multiply
    234.88x = 323.96 × 188.44
  4. Step 4: Simplify right side
    234.88x = 61,047.02
  5. Step 5: Solve for x
    x = 61,047.02/234.88
  6. Step 6: Final answer
    x = 259.91

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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.