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Finding the Fourth Proportional to 179.28, 246.78 and 154.44

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Solution

The fourth proportional to 179.28, 246.78 and 154.44 is: 212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.28 : 246.78 = 154.44 : x
  2. Step 2: Convert to fraction form
    179.28/246.78 = 154.44/x
  3. Step 3: Cross multiply
    179.28x = 246.78 × 154.44
  4. Step 4: Simplify right side
    179.28x = 38,112.70
  5. Step 5: Solve for x
    x = 38,112.70/179.28
  6. Step 6: Final answer
    x = 212.59

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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.