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Finding the Fourth Proportional to 492.39, 738.33 and 180.03

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Solution

The fourth proportional to 492.39, 738.33 and 180.03 is: 269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.39 : 738.33 = 180.03 : x
  2. Step 2: Convert to fraction form
    492.39/738.33 = 180.03/x
  3. Step 3: Cross multiply
    492.39x = 738.33 × 180.03
  4. Step 4: Simplify right side
    492.39x = 132,921.55
  5. Step 5: Solve for x
    x = 132,921.55/492.39
  6. Step 6: Final answer
    x = 269.95

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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.