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Finding the Fourth Proportional to 187.25, 259.05 and 180.50

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Solution

The fourth proportional to 187.25, 259.05 and 180.50 is: 249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.25 : 259.05 = 180.50 : x
  2. Step 2: Convert to fraction form
    187.25/259.05 = 180.50/x
  3. Step 3: Cross multiply
    187.25x = 259.05 × 180.50
  4. Step 4: Simplify right side
    187.25x = 46,757.23
  5. Step 5: Solve for x
    x = 46,757.23/187.25
  6. Step 6: Final answer
    x = 249.71

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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.