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Finding the Fourth Proportional to 219.97, 303.92 and 173.70

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Solution

The fourth proportional to 219.97, 303.92 and 173.70 is: 239.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.97 : 303.92 = 173.70 : x
  2. Step 2: Convert to fraction form
    219.97/303.92 = 173.70/x
  3. Step 3: Cross multiply
    219.97x = 303.92 × 173.70
  4. Step 4: Simplify right side
    219.97x = 52,789.87
  5. Step 5: Solve for x
    x = 52,789.87/219.97
  6. Step 6: Final answer
    x = 239.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.