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Finding the Fourth Proportional to 378.12, 521.82 and 230.82

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Solution

The fourth proportional to 378.12, 521.82 and 230.82 is: 318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.12 : 521.82 = 230.82 : x
  2. Step 2: Convert to fraction form
    378.12/521.82 = 230.82/x
  3. Step 3: Cross multiply
    378.12x = 521.82 × 230.82
  4. Step 4: Simplify right side
    378.12x = 120,446.49
  5. Step 5: Solve for x
    x = 120,446.49/378.12
  6. Step 6: Final answer
    x = 318.54

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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.