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Finding the Fourth Proportional to 198.19, 273.62 and 177.43

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Solution

The fourth proportional to 198.19, 273.62 and 177.43 is: 244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.19 : 273.62 = 177.43 : x
  2. Step 2: Convert to fraction form
    198.19/273.62 = 177.43/x
  3. Step 3: Cross multiply
    198.19x = 273.62 × 177.43
  4. Step 4: Simplify right side
    198.19x = 48,547.03
  5. Step 5: Solve for x
    x = 48,547.03/198.19
  6. Step 6: Final answer
    x = 244.96

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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.