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Finding the Fourth Proportional to 201.22, 299.99 and 180.70

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Solution

The fourth proportional to 201.22, 299.99 and 180.70 is: 269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.22 : 299.99 = 180.70 : x
  2. Step 2: Convert to fraction form
    201.22/299.99 = 180.70/x
  3. Step 3: Cross multiply
    201.22x = 299.99 × 180.70
  4. Step 4: Simplify right side
    201.22x = 54,208.19
  5. Step 5: Solve for x
    x = 54,208.19/201.22
  6. Step 6: Final answer
    x = 269.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.