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Finding the Fourth Proportional to 234.42, 323.29 and 179.05

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Solution

The fourth proportional to 234.42, 323.29 and 179.05 is: 246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.42 : 323.29 = 179.05 : x
  2. Step 2: Convert to fraction form
    234.42/323.29 = 179.05/x
  3. Step 3: Cross multiply
    234.42x = 323.29 × 179.05
  4. Step 4: Simplify right side
    234.42x = 57,885.07
  5. Step 5: Solve for x
    x = 57,885.07/234.42
  6. Step 6: Final answer
    x = 246.93

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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.