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Finding the Fourth Proportional to 234.22, 322.56 and 188.46

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Solution

The fourth proportional to 234.22, 322.56 and 188.46 is: 259.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.22 : 322.56 = 188.46 : x
  2. Step 2: Convert to fraction form
    234.22/322.56 = 188.46/x
  3. Step 3: Cross multiply
    234.22x = 322.56 × 188.46
  4. Step 4: Simplify right side
    234.22x = 60,789.66
  5. Step 5: Solve for x
    x = 60,789.66/234.22
  6. Step 6: Final answer
    x = 259.54

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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.