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Finding the Fourth Proportional to 220.45, 330.72 and 76.27

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Solution

The fourth proportional to 220.45, 330.72 and 76.27 is: 114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.45 : 330.72 = 76.27 : x
  2. Step 2: Convert to fraction form
    220.45/330.72 = 76.27/x
  3. Step 3: Cross multiply
    220.45x = 330.72 × 76.27
  4. Step 4: Simplify right side
    220.45x = 25,224.01
  5. Step 5: Solve for x
    x = 25,224.01/220.45
  6. Step 6: Final answer
    x = 114.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.