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Finding the Fourth Proportional to 234.26, 323.42 and 175.94

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Solution

The fourth proportional to 234.26, 323.42 and 175.94 is: 242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.26 : 323.42 = 175.94 : x
  2. Step 2: Convert to fraction form
    234.26/323.42 = 175.94/x
  3. Step 3: Cross multiply
    234.26x = 323.42 × 175.94
  4. Step 4: Simplify right side
    234.26x = 56,902.51
  5. Step 5: Solve for x
    x = 56,902.51/234.26
  6. Step 6: Final answer
    x = 242.90

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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.