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Finding the Fourth Proportional to 219.97, 329.85 and 65.84

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Solution

The fourth proportional to 219.97, 329.85 and 65.84 is: 98.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.97 : 329.85 = 65.84 : x
  2. Step 2: Convert to fraction form
    219.97/329.85 = 65.84/x
  3. Step 3: Cross multiply
    219.97x = 329.85 × 65.84
  4. Step 4: Simplify right side
    219.97x = 21,717.32
  5. Step 5: Solve for x
    x = 21,717.32/219.97
  6. Step 6: Final answer
    x = 98.73

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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.