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Finding the Fourth Proportional to 318.35, 439.19 and 194.00

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Solution

The fourth proportional to 318.35, 439.19 and 194.00 is: 267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.35 : 439.19 = 194.00 : x
  2. Step 2: Convert to fraction form
    318.35/439.19 = 194.00/x
  3. Step 3: Cross multiply
    318.35x = 439.19 × 194.00
  4. Step 4: Simplify right side
    318.35x = 85,199.69
  5. Step 5: Solve for x
    x = 85,199.69/318.35
  6. Step 6: Final answer
    x = 267.63

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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.