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Finding the Fourth Proportional to 262.43, 392.92 and 189.38

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Solution

The fourth proportional to 262.43, 392.92 and 189.38 is: 283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.43 : 392.92 = 189.38 : x
  2. Step 2: Convert to fraction form
    262.43/392.92 = 189.38/x
  3. Step 3: Cross multiply
    262.43x = 392.92 × 189.38
  4. Step 4: Simplify right side
    262.43x = 74,408.28
  5. Step 5: Solve for x
    x = 74,408.28/262.43
  6. Step 6: Final answer
    x = 283.54

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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.