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Finding the Fourth Proportional to 192.70, 289.05 and 174.61

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Solution

The fourth proportional to 192.70, 289.05 and 174.61 is: 261.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.70 : 289.05 = 174.61 : x
  2. Step 2: Convert to fraction form
    192.70/289.05 = 174.61/x
  3. Step 3: Cross multiply
    192.70x = 289.05 × 174.61
  4. Step 4: Simplify right side
    192.70x = 50,471.02
  5. Step 5: Solve for x
    x = 50,471.02/192.70
  6. Step 6: Final answer
    x = 261.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.