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Finding the Fourth Proportional to 337.97, 466.23 and 198.00

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Solution

The fourth proportional to 337.97, 466.23 and 198.00 is: 273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.97 : 466.23 = 198.00 : x
  2. Step 2: Convert to fraction form
    337.97/466.23 = 198.00/x
  3. Step 3: Cross multiply
    337.97x = 466.23 × 198.00
  4. Step 4: Simplify right side
    337.97x = 92,313.63
  5. Step 5: Solve for x
    x = 92,313.63/337.97
  6. Step 6: Final answer
    x = 273.14

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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.