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Finding the Fourth Proportional to 217.50, 300.34 and 198.06

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Solution

The fourth proportional to 217.50, 300.34 and 198.06 is: 273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.50 : 300.34 = 198.06 : x
  2. Step 2: Convert to fraction form
    217.50/300.34 = 198.06/x
  3. Step 3: Cross multiply
    217.50x = 300.34 × 198.06
  4. Step 4: Simplify right side
    217.50x = 59,485.34
  5. Step 5: Solve for x
    x = 59,485.34/217.50
  6. Step 6: Final answer
    x = 273.50

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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.