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Finding the Fourth Proportional to 318.49, 439.50 and 178.64

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Solution

The fourth proportional to 318.49, 439.50 and 178.64 is: 246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.49 : 439.50 = 178.64 : x
  2. Step 2: Convert to fraction form
    318.49/439.50 = 178.64/x
  3. Step 3: Cross multiply
    318.49x = 439.50 × 178.64
  4. Step 4: Simplify right side
    318.49x = 78,510.08
  5. Step 5: Solve for x
    x = 78,510.08/318.49
  6. Step 6: Final answer
    x = 246.51

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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.