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Finding the Fourth Proportional to 198.44, 296.48 and 191.63

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Solution

The fourth proportional to 198.44, 296.48 and 191.63 is: 286.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.44 : 296.48 = 191.63 : x
  2. Step 2: Convert to fraction form
    198.44/296.48 = 191.63/x
  3. Step 3: Cross multiply
    198.44x = 296.48 × 191.63
  4. Step 4: Simplify right side
    198.44x = 56,812.74
  5. Step 5: Solve for x
    x = 56,812.74/198.44
  6. Step 6: Final answer
    x = 286.29

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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.