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Finding the Fourth Proportional to 329.02, 454.14 and 198.03

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Solution

The fourth proportional to 329.02, 454.14 and 198.03 is: 273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.02 : 454.14 = 198.03 : x
  2. Step 2: Convert to fraction form
    329.02/454.14 = 198.03/x
  3. Step 3: Cross multiply
    329.02x = 454.14 × 198.03
  4. Step 4: Simplify right side
    329.02x = 89,933.34
  5. Step 5: Solve for x
    x = 89,933.34/329.02
  6. Step 6: Final answer
    x = 273.34

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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.