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Finding the Fourth Proportional to 186.22, 256.80 and 120.61

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Solution

The fourth proportional to 186.22, 256.80 and 120.61 is: 166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.22 : 256.80 = 120.61 : x
  2. Step 2: Convert to fraction form
    186.22/256.80 = 120.61/x
  3. Step 3: Cross multiply
    186.22x = 256.80 × 120.61
  4. Step 4: Simplify right side
    186.22x = 30,972.65
  5. Step 5: Solve for x
    x = 30,972.65/186.22
  6. Step 6: Final answer
    x = 166.32

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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.