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Finding the Fourth Proportional to 198.25, 273.57 and 110.93

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Solution

The fourth proportional to 198.25, 273.57 and 110.93 is: 153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.25 : 273.57 = 110.93 : x
  2. Step 2: Convert to fraction form
    198.25/273.57 = 110.93/x
  3. Step 3: Cross multiply
    198.25x = 273.57 × 110.93
  4. Step 4: Simplify right side
    198.25x = 30,347.12
  5. Step 5: Solve for x
    x = 30,347.12/198.25
  6. Step 6: Final answer
    x = 153.08

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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.