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Finding the Fourth Proportional to 219.94, 329.82 and 75.67

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Solution

The fourth proportional to 219.94, 329.82 and 75.67 is: 113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.94 : 329.82 = 75.67 : x
  2. Step 2: Convert to fraction form
    219.94/329.82 = 75.67/x
  3. Step 3: Cross multiply
    219.94x = 329.82 × 75.67
  4. Step 4: Simplify right side
    219.94x = 24,957.48
  5. Step 5: Solve for x
    x = 24,957.48/219.94
  6. Step 6: Final answer
    x = 113.47

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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.