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Finding the Fourth Proportional to 220.04, 329.85 and 75.66

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Solution

The fourth proportional to 220.04, 329.85 and 75.66 is: 113.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.04 : 329.85 = 75.66 : x
  2. Step 2: Convert to fraction form
    220.04/329.85 = 75.66/x
  3. Step 3: Cross multiply
    220.04x = 329.85 × 75.66
  4. Step 4: Simplify right side
    220.04x = 24,955.21
  5. Step 5: Solve for x
    x = 24,955.21/220.04
  6. Step 6: Final answer
    x = 113.41

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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.