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Finding the Fourth Proportional to 186.20, 256.85 and 120.69

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Solution

The fourth proportional to 186.20, 256.85 and 120.69 is: 166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.20 : 256.85 = 120.69 : x
  2. Step 2: Convert to fraction form
    186.20/256.85 = 120.69/x
  3. Step 3: Cross multiply
    186.20x = 256.85 × 120.69
  4. Step 4: Simplify right side
    186.20x = 30,998.62
  5. Step 5: Solve for x
    x = 30,998.62/186.20
  6. Step 6: Final answer
    x = 166.48

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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.