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Finding the Fourth Proportional to 234.66, 323.85 and 136.43

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Solution

The fourth proportional to 234.66, 323.85 and 136.43 is: 188.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.66 : 323.85 = 136.43 : x
  2. Step 2: Convert to fraction form
    234.66/323.85 = 136.43/x
  3. Step 3: Cross multiply
    234.66x = 323.85 × 136.43
  4. Step 4: Simplify right side
    234.66x = 44,182.96
  5. Step 5: Solve for x
    x = 44,182.96/234.66
  6. Step 6: Final answer
    x = 188.28

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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.