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Finding the Fourth Proportional to 220.42, 329.94 and 165.25

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Solution

The fourth proportional to 220.42, 329.94 and 165.25 is: 247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.42 : 329.94 = 165.25 : x
  2. Step 2: Convert to fraction form
    220.42/329.94 = 165.25/x
  3. Step 3: Cross multiply
    220.42x = 329.94 × 165.25
  4. Step 4: Simplify right side
    220.42x = 54,522.59
  5. Step 5: Solve for x
    x = 54,522.59/220.42
  6. Step 6: Final answer
    x = 247.36

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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.