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Finding the Fourth Proportional to 186.53, 279.85 and 109.56

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Solution

The fourth proportional to 186.53, 279.85 and 109.56 is: 164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.53 : 279.85 = 109.56 : x
  2. Step 2: Convert to fraction form
    186.53/279.85 = 109.56/x
  3. Step 3: Cross multiply
    186.53x = 279.85 × 109.56
  4. Step 4: Simplify right side
    186.53x = 30,660.37
  5. Step 5: Solve for x
    x = 30,660.37/186.53
  6. Step 6: Final answer
    x = 164.37

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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.