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Finding the Fourth Proportional to 187.97, 259.55 and 139.37

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Solution

The fourth proportional to 187.97, 259.55 and 139.37 is: 192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.97 : 259.55 = 139.37 : x
  2. Step 2: Convert to fraction form
    187.97/259.55 = 139.37/x
  3. Step 3: Cross multiply
    187.97x = 259.55 × 139.37
  4. Step 4: Simplify right side
    187.97x = 36,171.49
  5. Step 5: Solve for x
    x = 36,171.49/187.97
  6. Step 6: Final answer
    x = 192.44

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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.