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Finding the Fourth Proportional to 197.64, 274.32 and 189.72

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Solution

The fourth proportional to 197.64, 274.32 and 189.72 is: 263.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.64 : 274.32 = 189.72 : x
  2. Step 2: Convert to fraction form
    197.64/274.32 = 189.72/x
  3. Step 3: Cross multiply
    197.64x = 274.32 × 189.72
  4. Step 4: Simplify right side
    197.64x = 52,043.99
  5. Step 5: Solve for x
    x = 52,043.99/197.64
  6. Step 6: Final answer
    x = 263.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.