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Finding the Fourth Proportional to 325.13, 487.31 and 160.67

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Solution

The fourth proportional to 325.13, 487.31 and 160.67 is: 240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.13 : 487.31 = 160.67 : x
  2. Step 2: Convert to fraction form
    325.13/487.31 = 160.67/x
  3. Step 3: Cross multiply
    325.13x = 487.31 × 160.67
  4. Step 4: Simplify right side
    325.13x = 78,296.10
  5. Step 5: Solve for x
    x = 78,296.10/325.13
  6. Step 6: Final answer
    x = 240.81

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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.