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Finding the Fourth Proportional to 186.80, 256.44 and 162.20

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Solution

The fourth proportional to 186.80, 256.44 and 162.20 is: 222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.80 : 256.44 = 162.20 : x
  2. Step 2: Convert to fraction form
    186.80/256.44 = 162.20/x
  3. Step 3: Cross multiply
    186.80x = 256.44 × 162.20
  4. Step 4: Simplify right side
    186.80x = 41,594.57
  5. Step 5: Solve for x
    x = 41,594.57/186.80
  6. Step 6: Final answer
    x = 222.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.