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Finding the Fourth Proportional to 492.40, 738.60 and 199.90

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Solution

The fourth proportional to 492.40, 738.60 and 199.90 is: 299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.40 : 738.60 = 199.90 : x
  2. Step 2: Convert to fraction form
    492.40/738.60 = 199.90/x
  3. Step 3: Cross multiply
    492.40x = 738.60 × 199.90
  4. Step 4: Simplify right side
    492.40x = 147,646.14
  5. Step 5: Solve for x
    x = 147,646.14/492.40
  6. Step 6: Final answer
    x = 299.85

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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.