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Finding the Fourth Proportional to 318.85, 439.97 and 178.95

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Solution

The fourth proportional to 318.85, 439.97 and 178.95 is: 246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.85 : 439.97 = 178.95 : x
  2. Step 2: Convert to fraction form
    318.85/439.97 = 178.95/x
  3. Step 3: Cross multiply
    318.85x = 439.97 × 178.95
  4. Step 4: Simplify right side
    318.85x = 78,732.63
  5. Step 5: Solve for x
    x = 78,732.63/318.85
  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.