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Finding the Fourth Proportional to 199.26, 299.16 and 180.90

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Solution

The fourth proportional to 199.26, 299.16 and 180.90 is: 271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.26 : 299.16 = 180.90 : x
  2. Step 2: Convert to fraction form
    199.26/299.16 = 180.90/x
  3. Step 3: Cross multiply
    199.26x = 299.16 × 180.90
  4. Step 4: Simplify right side
    199.26x = 54,118.04
  5. Step 5: Solve for x
    x = 54,118.04/199.26
  6. Step 6: Final answer
    x = 271.60

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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.