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Finding the Fourth Proportional to 198.98, 272.82 and 184.76

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Solution

The fourth proportional to 198.98, 272.82 and 184.76 is: 253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.98 : 272.82 = 184.76 : x
  2. Step 2: Convert to fraction form
    198.98/272.82 = 184.76/x
  3. Step 3: Cross multiply
    198.98x = 272.82 × 184.76
  4. Step 4: Simplify right side
    198.98x = 50,406.22
  5. Step 5: Solve for x
    x = 50,406.22/198.98
  6. Step 6: Final answer
    x = 253.32

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Why These Related Problems?

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