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Finding the Fourth Proportional to 234.58, 323.43 and 213.77

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Solution

The fourth proportional to 234.58, 323.43 and 213.77 is: 294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.58 : 323.43 = 213.77 : x
  2. Step 2: Convert to fraction form
    234.58/323.43 = 213.77/x
  3. Step 3: Cross multiply
    234.58x = 323.43 × 213.77
  4. Step 4: Simplify right side
    234.58x = 69,139.63
  5. Step 5: Solve for x
    x = 69,139.63/234.58
  6. Step 6: Final answer
    x = 294.74

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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.