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Finding the Fourth Proportional to 318.48, 439.58 and 194.22

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Solution

The fourth proportional to 318.48, 439.58 and 194.22 is: 268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.48 : 439.58 = 194.22 : x
  2. Step 2: Convert to fraction form
    318.48/439.58 = 194.22/x
  3. Step 3: Cross multiply
    318.48x = 439.58 × 194.22
  4. Step 4: Simplify right side
    318.48x = 85,375.23
  5. Step 5: Solve for x
    x = 85,375.23/318.48
  6. Step 6: Final answer
    x = 268.07

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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.