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Finding the Fourth Proportional to 327.50, 452.03 and 189.58

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Solution

The fourth proportional to 327.50, 452.03 and 189.58 is: 261.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.50 : 452.03 = 189.58 : x
  2. Step 2: Convert to fraction form
    327.50/452.03 = 189.58/x
  3. Step 3: Cross multiply
    327.50x = 452.03 × 189.58
  4. Step 4: Simplify right side
    327.50x = 85,695.85
  5. Step 5: Solve for x
    x = 85,695.85/327.50
  6. Step 6: Final answer
    x = 261.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.