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Finding the Fourth Proportional to 187.25, 258.38 and 138.14

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Solution

The fourth proportional to 187.25, 258.38 and 138.14 is: 190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.25 : 258.38 = 138.14 : x
  2. Step 2: Convert to fraction form
    187.25/258.38 = 138.14/x
  3. Step 3: Cross multiply
    187.25x = 258.38 × 138.14
  4. Step 4: Simplify right side
    187.25x = 35,692.61
  5. Step 5: Solve for x
    x = 35,692.61/187.25
  6. Step 6: Final answer
    x = 190.61

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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.