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Finding the Fourth Proportional to 234.19, 323.19 and 175.19

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Solution

The fourth proportional to 234.19, 323.19 and 175.19 is: 241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.19 : 323.19 = 175.19 : x
  2. Step 2: Convert to fraction form
    234.19/323.19 = 175.19/x
  3. Step 3: Cross multiply
    234.19x = 323.19 × 175.19
  4. Step 4: Simplify right side
    234.19x = 56,618.95
  5. Step 5: Solve for x
    x = 56,618.95/234.19
  6. Step 6: Final answer
    x = 241.76

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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.