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Finding the Fourth Proportional to 220.13, 329.90 and 171.44

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Solution

The fourth proportional to 220.13, 329.90 and 171.44 is: 256.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.13 : 329.90 = 171.44 : x
  2. Step 2: Convert to fraction form
    220.13/329.90 = 171.44/x
  3. Step 3: Cross multiply
    220.13x = 329.90 × 171.44
  4. Step 4: Simplify right side
    220.13x = 56,555.55
  5. Step 5: Solve for x
    x = 56,555.55/220.13
  6. Step 6: Final answer
    x = 256.92

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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.