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Finding the Fourth Proportional to 234.23, 323.30 and 136.02

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Solution

The fourth proportional to 234.23, 323.30 and 136.02 is: 187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.23 : 323.30 = 136.02 : x
  2. Step 2: Convert to fraction form
    234.23/323.30 = 136.02/x
  3. Step 3: Cross multiply
    234.23x = 323.30 × 136.02
  4. Step 4: Simplify right side
    234.23x = 43,975.27
  5. Step 5: Solve for x
    x = 43,975.27/234.23
  6. Step 6: Final answer
    x = 187.74

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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.