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Finding the Fourth Proportional to 258.73, 388.37 and 187.05

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Solution

The fourth proportional to 258.73, 388.37 and 187.05 is: 280.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.73 : 388.37 = 187.05 : x
  2. Step 2: Convert to fraction form
    258.73/388.37 = 187.05/x
  3. Step 3: Cross multiply
    258.73x = 388.37 × 187.05
  4. Step 4: Simplify right side
    258.73x = 72,644.61
  5. Step 5: Solve for x
    x = 72,644.61/258.73
  6. Step 6: Final answer
    x = 280.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.