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Finding the Fourth Proportional to 488.53, 732.59 and 163.85

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Solution

The fourth proportional to 488.53, 732.59 and 163.85 is: 245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.53 : 732.59 = 163.85 : x
  2. Step 2: Convert to fraction form
    488.53/732.59 = 163.85/x
  3. Step 3: Cross multiply
    488.53x = 732.59 × 163.85
  4. Step 4: Simplify right side
    488.53x = 120,034.05
  5. Step 5: Solve for x
    x = 120,034.05/488.53
  6. Step 6: Final answer
    x = 245.71

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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.