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Finding the Fourth Proportional to 318.60, 439.59 and 194.25

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Solution

The fourth proportional to 318.60, 439.59 and 194.25 is: 268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.60 : 439.59 = 194.25 : x
  2. Step 2: Convert to fraction form
    318.60/439.59 = 194.25/x
  3. Step 3: Cross multiply
    318.60x = 439.59 × 194.25
  4. Step 4: Simplify right side
    318.60x = 85,390.36
  5. Step 5: Solve for x
    x = 85,390.36/318.60
  6. Step 6: Final answer
    x = 268.02

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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.