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Finding the Fourth Proportional to 198.48, 274.08 and 140.64

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Solution

The fourth proportional to 198.48, 274.08 and 140.64 is: 194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.48 : 274.08 = 140.64 : x
  2. Step 2: Convert to fraction form
    198.48/274.08 = 140.64/x
  3. Step 3: Cross multiply
    198.48x = 274.08 × 140.64
  4. Step 4: Simplify right side
    198.48x = 38,546.61
  5. Step 5: Solve for x
    x = 38,546.61/198.48
  6. Step 6: Final answer
    x = 194.21

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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.