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Finding the Fourth Proportional to 318.83, 439.93 and 194.53

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Solution

The fourth proportional to 318.83, 439.93 and 194.53 is: 268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.83 : 439.93 = 194.53 : x
  2. Step 2: Convert to fraction form
    318.83/439.93 = 194.53/x
  3. Step 3: Cross multiply
    318.83x = 439.93 × 194.53
  4. Step 4: Simplify right side
    318.83x = 85,578.61
  5. Step 5: Solve for x
    x = 85,578.61/318.83
  6. Step 6: Final answer
    x = 268.41

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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.