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Finding the Fourth Proportional to 198.72, 272.77 and 176.85

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Solution

The fourth proportional to 198.72, 272.77 and 176.85 is: 242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.72 : 272.77 = 176.85 : x
  2. Step 2: Convert to fraction form
    198.72/272.77 = 176.85/x
  3. Step 3: Cross multiply
    198.72x = 272.77 × 176.85
  4. Step 4: Simplify right side
    198.72x = 48,238.93
  5. Step 5: Solve for x
    x = 48,238.93/198.72
  6. Step 6: Final answer
    x = 242.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.