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Finding the Fourth Proportional to 318.94, 440.04 and 208.38

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Solution

The fourth proportional to 318.94, 440.04 and 208.38 is: 287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.94 : 440.04 = 208.38 : x
  2. Step 2: Convert to fraction form
    318.94/440.04 = 208.38/x
  3. Step 3: Cross multiply
    318.94x = 440.04 × 208.38
  4. Step 4: Simplify right side
    318.94x = 91,695.54
  5. Step 5: Solve for x
    x = 91,695.54/318.94
  6. Step 6: Final answer
    x = 287.50

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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.