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Finding the Fourth Proportional to 234.75, 323.85 and 136.45

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Solution

The fourth proportional to 234.75, 323.85 and 136.45 is: 188.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.75 : 323.85 = 136.45 : x
  2. Step 2: Convert to fraction form
    234.75/323.85 = 136.45/x
  3. Step 3: Cross multiply
    234.75x = 323.85 × 136.45
  4. Step 4: Simplify right side
    234.75x = 44,188.12
  5. Step 5: Solve for x
    x = 44,188.12/234.75
  6. Step 6: Final answer
    x = 188.24

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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.