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Finding the Fourth Proportional to 318.19, 439.06 and 178.31

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Solution

The fourth proportional to 318.19, 439.06 and 178.31 is: 246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.19 : 439.06 = 178.31 : x
  2. Step 2: Convert to fraction form
    318.19/439.06 = 178.31/x
  3. Step 3: Cross multiply
    318.19x = 439.06 × 178.31
  4. Step 4: Simplify right side
    318.19x = 78,288.79
  5. Step 5: Solve for x
    x = 78,288.79/318.19
  6. Step 6: Final answer
    x = 246.04

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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.