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Finding the Fourth Proportional to 186.70, 279.24 and 109.48

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Solution

The fourth proportional to 186.70, 279.24 and 109.48 is: 163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.70 : 279.24 = 109.48 : x
  2. Step 2: Convert to fraction form
    186.70/279.24 = 109.48/x
  3. Step 3: Cross multiply
    186.70x = 279.24 × 109.48
  4. Step 4: Simplify right side
    186.70x = 30,571.20
  5. Step 5: Solve for x
    x = 30,571.20/186.70
  6. Step 6: Final answer
    x = 163.75

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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.