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Finding the Fourth Proportional to 318.53, 439.49 and 178.61

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Solution

The fourth proportional to 318.53, 439.49 and 178.61 is: 246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.53 : 439.49 = 178.61 : x
  2. Step 2: Convert to fraction form
    318.53/439.49 = 178.61/x
  3. Step 3: Cross multiply
    318.53x = 439.49 × 178.61
  4. Step 4: Simplify right side
    318.53x = 78,495.56
  5. Step 5: Solve for x
    x = 78,495.56/318.53
  6. Step 6: Final answer
    x = 246.43

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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.