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Finding the Fourth Proportional to 189.30, 262.42 and 185.93

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Solution

The fourth proportional to 189.30, 262.42 and 185.93 is: 257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.30 : 262.42 = 185.93 : x
  2. Step 2: Convert to fraction form
    189.30/262.42 = 185.93/x
  3. Step 3: Cross multiply
    189.30x = 262.42 × 185.93
  4. Step 4: Simplify right side
    189.30x = 48,791.75
  5. Step 5: Solve for x
    x = 48,791.75/189.30
  6. Step 6: Final answer
    x = 257.75

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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.