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Finding the Fourth Proportional to 234.16, 323.08 and 135.92

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Solution

The fourth proportional to 234.16, 323.08 and 135.92 is: 187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.16 : 323.08 = 135.92 : x
  2. Step 2: Convert to fraction form
    234.16/323.08 = 135.92/x
  3. Step 3: Cross multiply
    234.16x = 323.08 × 135.92
  4. Step 4: Simplify right side
    234.16x = 43,913.03
  5. Step 5: Solve for x
    x = 43,913.03/234.16
  6. Step 6: Final answer
    x = 187.53

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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.