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Finding the Fourth Proportional to 234.69, 323.86 and 136.45

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Solution

The fourth proportional to 234.69, 323.86 and 136.45 is: 188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.69 : 323.86 = 136.45 : x
  2. Step 2: Convert to fraction form
    234.69/323.86 = 136.45/x
  3. Step 3: Cross multiply
    234.69x = 323.86 × 136.45
  4. Step 4: Simplify right side
    234.69x = 44,191.31
  5. Step 5: Solve for x
    x = 44,191.31/234.69
  6. Step 6: Final answer
    x = 188.29

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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.