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Finding the Fourth Proportional to 234.70, 323.86 and 136.48

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Solution

The fourth proportional to 234.70, 323.86 and 136.48 is: 188.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.70 : 323.86 = 136.48 : x
  2. Step 2: Convert to fraction form
    234.70/323.86 = 136.48/x
  3. Step 3: Cross multiply
    234.70x = 323.86 × 136.48
  4. Step 4: Simplify right side
    234.70x = 44,200.41
  5. Step 5: Solve for x
    x = 44,200.41/234.70
  6. Step 6: Final answer
    x = 188.33

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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.