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Finding the Fourth Proportional to 198.64, 274.14 and 115.77

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Solution

The fourth proportional to 198.64, 274.14 and 115.77 is: 159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.64 : 274.14 = 115.77 : x
  2. Step 2: Convert to fraction form
    198.64/274.14 = 115.77/x
  3. Step 3: Cross multiply
    198.64x = 274.14 × 115.77
  4. Step 4: Simplify right side
    198.64x = 31,738.22
  5. Step 5: Solve for x
    x = 31,738.22/198.64
  6. Step 6: Final answer
    x = 159.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.