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Finding the Fourth Proportional to 488.53, 732.85 and 163.92

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Solution

The fourth proportional to 488.53, 732.85 and 163.92 is: 245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.53 : 732.85 = 163.92 : x
  2. Step 2: Convert to fraction form
    488.53/732.85 = 163.92/x
  3. Step 3: Cross multiply
    488.53x = 732.85 × 163.92
  4. Step 4: Simplify right side
    488.53x = 120,131.11
  5. Step 5: Solve for x
    x = 120,131.11/488.53
  6. Step 6: Final answer
    x = 245.90

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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.