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Finding the Fourth Proportional to 198, 273.41 and 156.77

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Solution

The fourth proportional to 198, 273.41 and 156.77 is: 216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    198 : 273.41 = 156.77 : x
  2. Step 2: Convert to fraction form
    198/273.41 = 156.77/x
  3. Step 3: Cross multiply
    198x = 273.41 × 156.77
  4. Step 4: Simplify right side
    198x = 42,860.33
  5. Step 5: Solve for x
    x = 42,860.33/198
  6. Step 6: Final answer
    x = 216.47

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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.