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Finding the Fourth Proportional to 189.86, 262.00 and 106.96

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Solution

The fourth proportional to 189.86, 262.00 and 106.96 is: 147.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.86 : 262.00 = 106.96 : x
  2. Step 2: Convert to fraction form
    189.86/262.00 = 106.96/x
  3. Step 3: Cross multiply
    189.86x = 262.00 × 106.96
  4. Step 4: Simplify right side
    189.86x = 28,023.85
  5. Step 5: Solve for x
    x = 28,023.85/189.86
  6. Step 6: Final answer
    x = 147.61

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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.