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Finding the Fourth Proportional to 187.22, 280.83 and 50.25

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Solution

The fourth proportional to 187.22, 280.83 and 50.25 is: 75.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.22 : 280.83 = 50.25 : x
  2. Step 2: Convert to fraction form
    187.22/280.83 = 50.25/x
  3. Step 3: Cross multiply
    187.22x = 280.83 × 50.25
  4. Step 4: Simplify right side
    187.22x = 14,112.14
  5. Step 5: Solve for x
    x = 14,112.14/187.22
  6. Step 6: Final answer
    x = 75.38

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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.