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Finding the Fourth Proportional to 198.47, 298.78 and 178.63

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Solution

The fourth proportional to 198.47, 298.78 and 178.63 is: 268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.47 : 298.78 = 178.63 : x
  2. Step 2: Convert to fraction form
    198.47/298.78 = 178.63/x
  3. Step 3: Cross multiply
    198.47x = 298.78 × 178.63
  4. Step 4: Simplify right side
    198.47x = 53,371.07
  5. Step 5: Solve for x
    x = 53,371.07/198.47
  6. Step 6: Final answer
    x = 268.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.