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Finding the Fourth Proportional to 185.88, 257.88 and 184.26

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Solution

The fourth proportional to 185.88, 257.88 and 184.26 is: 255.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.88 : 257.88 = 184.26 : x
  2. Step 2: Convert to fraction form
    185.88/257.88 = 184.26/x
  3. Step 3: Cross multiply
    185.88x = 257.88 × 184.26
  4. Step 4: Simplify right side
    185.88x = 47,516.97
  5. Step 5: Solve for x
    x = 47,516.97/185.88
  6. Step 6: Final answer
    x = 255.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.