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Finding the Fourth Proportional to 200.28, 300.54 and 119.22

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Solution

The fourth proportional to 200.28, 300.54 and 119.22 is: 178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.28 : 300.54 = 119.22 : x
  2. Step 2: Convert to fraction form
    200.28/300.54 = 119.22/x
  3. Step 3: Cross multiply
    200.28x = 300.54 × 119.22
  4. Step 4: Simplify right side
    200.28x = 35,830.38
  5. Step 5: Solve for x
    x = 35,830.38/200.28
  6. Step 6: Final answer
    x = 178.90

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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.