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Finding the Fourth Proportional to 318.95, 440.13 and 194.64

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Solution

The fourth proportional to 318.95, 440.13 and 194.64 is: 268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.95 : 440.13 = 194.64 : x
  2. Step 2: Convert to fraction form
    318.95/440.13 = 194.64/x
  3. Step 3: Cross multiply
    318.95x = 440.13 × 194.64
  4. Step 4: Simplify right side
    318.95x = 85,668.05
  5. Step 5: Solve for x
    x = 85,668.05/318.95
  6. Step 6: Final answer
    x = 268.59

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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.