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Finding the Fourth Proportional to 327.58, 491.30 and 195.86

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Solution

The fourth proportional to 327.58, 491.30 and 195.86 is: 293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.58 : 491.30 = 195.86 : x
  2. Step 2: Convert to fraction form
    327.58/491.30 = 195.86/x
  3. Step 3: Cross multiply
    327.58x = 491.30 × 195.86
  4. Step 4: Simplify right side
    327.58x = 96,226.02
  5. Step 5: Solve for x
    x = 96,226.02/327.58
  6. Step 6: Final answer
    x = 293.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.