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Finding the Fourth Proportional to 198.13, 295.67 and 174.14

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Solution

The fourth proportional to 198.13, 295.67 and 174.14 is: 259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.13 : 295.67 = 174.14 : x
  2. Step 2: Convert to fraction form
    198.13/295.67 = 174.14/x
  3. Step 3: Cross multiply
    198.13x = 295.67 × 174.14
  4. Step 4: Simplify right side
    198.13x = 51,487.97
  5. Step 5: Solve for x
    x = 51,487.97/198.13
  6. Step 6: Final answer
    x = 259.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.