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Finding the Fourth Proportional to 294.67, 406.82 and 184.20

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Solution

The fourth proportional to 294.67, 406.82 and 184.20 is: 254.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.67 : 406.82 = 184.20 : x
  2. Step 2: Convert to fraction form
    294.67/406.82 = 184.20/x
  3. Step 3: Cross multiply
    294.67x = 406.82 × 184.20
  4. Step 4: Simplify right side
    294.67x = 74,936.24
  5. Step 5: Solve for x
    x = 74,936.24/294.67
  6. Step 6: Final answer
    x = 254.31

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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.