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Finding the Fourth Proportional to 198.54, 274.23 and 140.58

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Solution

The fourth proportional to 198.54, 274.23 and 140.58 is: 194.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.54 : 274.23 = 140.58 : x
  2. Step 2: Convert to fraction form
    198.54/274.23 = 140.58/x
  3. Step 3: Cross multiply
    198.54x = 274.23 × 140.58
  4. Step 4: Simplify right side
    198.54x = 38,551.25
  5. Step 5: Solve for x
    x = 38,551.25/198.54
  6. Step 6: Final answer
    x = 194.17

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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.