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Finding the Fourth Proportional to 185.34, 255.24 and 184.79

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Solution

The fourth proportional to 185.34, 255.24 and 184.79 is: 254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.34 : 255.24 = 184.79 : x
  2. Step 2: Convert to fraction form
    185.34/255.24 = 184.79/x
  3. Step 3: Cross multiply
    185.34x = 255.24 × 184.79
  4. Step 4: Simplify right side
    185.34x = 47,165.80
  5. Step 5: Solve for x
    x = 47,165.80/185.34
  6. Step 6: Final answer
    x = 254.48

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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.