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Finding the Fourth Proportional to 492.48, 738.76 and 163.40

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Solution

The fourth proportional to 492.48, 738.76 and 163.40 is: 245.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.48 : 738.76 = 163.40 : x
  2. Step 2: Convert to fraction form
    492.48/738.76 = 163.40/x
  3. Step 3: Cross multiply
    492.48x = 738.76 × 163.40
  4. Step 4: Simplify right side
    492.48x = 120,716.63
  5. Step 5: Solve for x
    x = 120,716.63/492.48
  6. Step 6: Final answer
    x = 245.12

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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.