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Finding the Fourth Proportional to 318.70, 439.81 and 178.82

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Solution

The fourth proportional to 318.70, 439.81 and 178.82 is: 246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.70 : 439.81 = 178.82 : x
  2. Step 2: Convert to fraction form
    318.70/439.81 = 178.82/x
  3. Step 3: Cross multiply
    318.70x = 439.81 × 178.82
  4. Step 4: Simplify right side
    318.70x = 78,644.18
  5. Step 5: Solve for x
    x = 78,644.18/318.70
  6. Step 6: Final answer
    x = 246.77

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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.