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Finding the Fourth Proportional to 294.88, 406.96 and 184.36

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Solution

The fourth proportional to 294.88, 406.96 and 184.36 is: 254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.88 : 406.96 = 184.36 : x
  2. Step 2: Convert to fraction form
    294.88/406.96 = 184.36/x
  3. Step 3: Cross multiply
    294.88x = 406.96 × 184.36
  4. Step 4: Simplify right side
    294.88x = 75,027.15
  5. Step 5: Solve for x
    x = 75,027.15/294.88
  6. Step 6: Final answer
    x = 254.43

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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.