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Finding the Fourth Proportional to 198.72, 299.16 and 178.88

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Solution

The fourth proportional to 198.72, 299.16 and 178.88 is: 269.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.72 : 299.16 = 178.88 : x
  2. Step 2: Convert to fraction form
    198.72/299.16 = 178.88/x
  3. Step 3: Cross multiply
    198.72x = 299.16 × 178.88
  4. Step 4: Simplify right side
    198.72x = 53,512.25
  5. Step 5: Solve for x
    x = 53,512.25/198.72
  6. Step 6: Final answer
    x = 269.28

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Why These Related Problems?

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