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Finding the Fourth Proportional to 198.60, 274.04 and 115.69

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Solution

The fourth proportional to 198.60, 274.04 and 115.69 is: 159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.60 : 274.04 = 115.69 : x
  2. Step 2: Convert to fraction form
    198.60/274.04 = 115.69/x
  3. Step 3: Cross multiply
    198.60x = 274.04 × 115.69
  4. Step 4: Simplify right side
    198.60x = 31,703.11
  5. Step 5: Solve for x
    x = 31,703.11/198.60
  6. Step 6: Final answer
    x = 159.64

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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.