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Finding the Fourth Proportional to 189.90, 262.04 and 105.86

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Solution

The fourth proportional to 189.90, 262.04 and 105.86 is: 146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.90 : 262.04 = 105.86 : x
  2. Step 2: Convert to fraction form
    189.90/262.04 = 105.86/x
  3. Step 3: Cross multiply
    189.90x = 262.04 × 105.86
  4. Step 4: Simplify right side
    189.90x = 27,739.68
  5. Step 5: Solve for x
    x = 27,739.68/189.90
  6. Step 6: Final answer
    x = 146.08

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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.