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Finding the Fourth Proportional to 198.72, 296.62 and 184.44

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Solution

The fourth proportional to 198.72, 296.62 and 184.44 is: 275.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.72 : 296.62 = 184.44 : x
  2. Step 2: Convert to fraction form
    198.72/296.62 = 184.44/x
  3. Step 3: Cross multiply
    198.72x = 296.62 × 184.44
  4. Step 4: Simplify right side
    198.72x = 54,708.59
  5. Step 5: Solve for x
    x = 54,708.59/198.72
  6. Step 6: Final answer
    x = 275.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.