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Finding the Fourth Proportional to 159.36, 219.78 and 122.28

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Solution

The fourth proportional to 159.36, 219.78 and 122.28 is: 168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.36 : 219.78 = 122.28 : x
  2. Step 2: Convert to fraction form
    159.36/219.78 = 122.28/x
  3. Step 3: Cross multiply
    159.36x = 219.78 × 122.28
  4. Step 4: Simplify right side
    159.36x = 26,874.70
  5. Step 5: Solve for x
    x = 26,874.70/159.36
  6. Step 6: Final answer
    x = 168.64

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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.