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Finding the Fourth Proportional to 327.57, 492.11 and 197.91

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Solution

The fourth proportional to 327.57, 492.11 and 197.91 is: 297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.57 : 492.11 = 197.91 : x
  2. Step 2: Convert to fraction form
    327.57/492.11 = 197.91/x
  3. Step 3: Cross multiply
    327.57x = 492.11 × 197.91
  4. Step 4: Simplify right side
    327.57x = 97,392.50
  5. Step 5: Solve for x
    x = 97,392.50/327.57
  6. Step 6: Final answer
    x = 297.32

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Why These Related Problems?

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