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Finding the Fourth Proportional to 198.89, 274.25 and 171.25

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Solution

The fourth proportional to 198.89, 274.25 and 171.25 is: 236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.89 : 274.25 = 171.25 : x
  2. Step 2: Convert to fraction form
    198.89/274.25 = 171.25/x
  3. Step 3: Cross multiply
    198.89x = 274.25 × 171.25
  4. Step 4: Simplify right side
    198.89x = 46,966.60
  5. Step 5: Solve for x
    x = 46,966.60/198.89
  6. Step 6: Final answer
    x = 236.14

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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.