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Finding the Fourth Proportional to 234.51, 323.64 and 141.26

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Solution

The fourth proportional to 234.51, 323.64 and 141.26 is: 194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.51 : 323.64 = 141.26 : x
  2. Step 2: Convert to fraction form
    234.51/323.64 = 141.26/x
  3. Step 3: Cross multiply
    234.51x = 323.64 × 141.26
  4. Step 4: Simplify right side
    234.51x = 45,715.77
  5. Step 5: Solve for x
    x = 45,715.77/234.51
  6. Step 6: Final answer
    x = 194.94

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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.