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Finding the Fourth Proportional to 492.36, 738.36 and 199.88

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Solution

The fourth proportional to 492.36, 738.36 and 199.88 is: 299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.36 : 738.36 = 199.88 : x
  2. Step 2: Convert to fraction form
    492.36/738.36 = 199.88/x
  3. Step 3: Cross multiply
    492.36x = 738.36 × 199.88
  4. Step 4: Simplify right side
    492.36x = 147,583.40
  5. Step 5: Solve for x
    x = 147,583.40/492.36
  6. Step 6: Final answer
    x = 299.75

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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.