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Finding the Fourth Proportional to 318.74, 439.74 and 194.36

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Solution

The fourth proportional to 318.74, 439.74 and 194.36 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.74 : 439.74 = 194.36 : x
  2. Step 2: Convert to fraction form
    318.74/439.74 = 194.36/x
  3. Step 3: Cross multiply
    318.74x = 439.74 × 194.36
  4. Step 4: Simplify right side
    318.74x = 85,465.67
  5. Step 5: Solve for x
    x = 85,465.67/318.74
  6. Step 6: Final answer
    x = 268.14

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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.