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Finding the Fourth Proportional to 318.74, 439.43 and 194.40

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Solution

The fourth proportional to 318.74, 439.43 and 194.40 is: 268.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.74 : 439.43 = 194.40 : x
  2. Step 2: Convert to fraction form
    318.74/439.43 = 194.40/x
  3. Step 3: Cross multiply
    318.74x = 439.43 × 194.40
  4. Step 4: Simplify right side
    318.74x = 85,424.22
  5. Step 5: Solve for x
    x = 85,424.22/318.74
  6. Step 6: Final answer
    x = 268.01

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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.