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Finding the Fourth Proportional to 220, 329.82 and 123.64

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Solution

The fourth proportional to 220, 329.82 and 123.64 is: 185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    220 : 329.82 = 123.64 : x
  2. Step 2: Convert to fraction form
    220/329.82 = 123.64/x
  3. Step 3: Cross multiply
    220x = 329.82 × 123.64
  4. Step 4: Simplify right side
    220x = 40,778.94
  5. Step 5: Solve for x
    x = 40,778.94/220
  6. Step 6: Final answer
    x = 185.36

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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.