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Finding the Fourth Proportional to 220.50, 330.75 and 76.22

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Solution

The fourth proportional to 220.50, 330.75 and 76.22 is: 114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.50 : 330.75 = 76.22 : x
  2. Step 2: Convert to fraction form
    220.50/330.75 = 76.22/x
  3. Step 3: Cross multiply
    220.50x = 330.75 × 76.22
  4. Step 4: Simplify right side
    220.50x = 25,209.77
  5. Step 5: Solve for x
    x = 25,209.77/220.50
  6. Step 6: Final answer
    x = 114.33

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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.