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Finding the Fourth Proportional to 187.98, 259.49 and 125.79

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Solution

The fourth proportional to 187.98, 259.49 and 125.79 is: 173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.98 : 259.49 = 125.79 : x
  2. Step 2: Convert to fraction form
    187.98/259.49 = 125.79/x
  3. Step 3: Cross multiply
    187.98x = 259.49 × 125.79
  4. Step 4: Simplify right side
    187.98x = 32,640.62
  5. Step 5: Solve for x
    x = 32,640.62/187.98
  6. Step 6: Final answer
    x = 173.64

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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.