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Finding the Fourth Proportional to 198.12, 273.42 and 146.52

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Solution

The fourth proportional to 198.12, 273.42 and 146.52 is: 202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.12 : 273.42 = 146.52 : x
  2. Step 2: Convert to fraction form
    198.12/273.42 = 146.52/x
  3. Step 3: Cross multiply
    198.12x = 273.42 × 146.52
  4. Step 4: Simplify right side
    198.12x = 40,061.50
  5. Step 5: Solve for x
    x = 40,061.50/198.12
  6. Step 6: Final answer
    x = 202.21

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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.