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Finding the Fourth Proportional to 258.57, 355.86 and 184.73

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Solution

The fourth proportional to 258.57, 355.86 and 184.73 is: 254.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.57 : 355.86 = 184.73 : x
  2. Step 2: Convert to fraction form
    258.57/355.86 = 184.73/x
  3. Step 3: Cross multiply
    258.57x = 355.86 × 184.73
  4. Step 4: Simplify right side
    258.57x = 65,736.24
  5. Step 5: Solve for x
    x = 65,736.24/258.57
  6. Step 6: Final answer
    x = 254.23

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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.