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Finding the Fourth Proportional to 194.05, 289.79 and 169.75

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Solution

The fourth proportional to 194.05, 289.79 and 169.75 is: 253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.05 : 289.79 = 169.75 : x
  2. Step 2: Convert to fraction form
    194.05/289.79 = 169.75/x
  3. Step 3: Cross multiply
    194.05x = 289.79 × 169.75
  4. Step 4: Simplify right side
    194.05x = 49,191.85
  5. Step 5: Solve for x
    x = 49,191.85/194.05
  6. Step 6: Final answer
    x = 253.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.