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Finding the Fourth Proportional to 492.74, 739.16 and 163.67

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Solution

The fourth proportional to 492.74, 739.16 and 163.67 is: 245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.74 : 739.16 = 163.67 : x
  2. Step 2: Convert to fraction form
    492.74/739.16 = 163.67/x
  3. Step 3: Cross multiply
    492.74x = 739.16 × 163.67
  4. Step 4: Simplify right side
    492.74x = 120,978.11
  5. Step 5: Solve for x
    x = 120,978.11/492.74
  6. Step 6: Final answer
    x = 245.52

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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.