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Finding the Fourth Proportional to 294.37, 406.09 and 189.41

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Solution

The fourth proportional to 294.37, 406.09 and 189.41 is: 261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.37 : 406.09 = 189.41 : x
  2. Step 2: Convert to fraction form
    294.37/406.09 = 189.41/x
  3. Step 3: Cross multiply
    294.37x = 406.09 × 189.41
  4. Step 4: Simplify right side
    294.37x = 76,917.51
  5. Step 5: Solve for x
    x = 76,917.51/294.37
  6. Step 6: Final answer
    x = 261.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.