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Finding the Fourth Proportional to 318.68, 439.65 and 194.24

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Solution

The fourth proportional to 318.68, 439.65 and 194.24 is: 267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.68 : 439.65 = 194.24 : x
  2. Step 2: Convert to fraction form
    318.68/439.65 = 194.24/x
  3. Step 3: Cross multiply
    318.68x = 439.65 × 194.24
  4. Step 4: Simplify right side
    318.68x = 85,398.72
  5. Step 5: Solve for x
    x = 85,398.72/318.68
  6. Step 6: Final answer
    x = 267.98

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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.