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Finding the Fourth Proportional to 198.56, 296.45 and 169.68

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Solution

The fourth proportional to 198.56, 296.45 and 169.68 is: 253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.56 : 296.45 = 169.68 : x
  2. Step 2: Convert to fraction form
    198.56/296.45 = 169.68/x
  3. Step 3: Cross multiply
    198.56x = 296.45 × 169.68
  4. Step 4: Simplify right side
    198.56x = 50,302.54
  5. Step 5: Solve for x
    x = 50,302.54/198.56
  6. Step 6: Final answer
    x = 253.33

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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.