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Finding the Fourth Proportional to 300.90, 450.12 and 178.18

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Solution

The fourth proportional to 300.90, 450.12 and 178.18 is: 266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.90 : 450.12 = 178.18 : x
  2. Step 2: Convert to fraction form
    300.90/450.12 = 178.18/x
  3. Step 3: Cross multiply
    300.90x = 450.12 × 178.18
  4. Step 4: Simplify right side
    300.90x = 80,202.38
  5. Step 5: Solve for x
    x = 80,202.38/300.90
  6. Step 6: Final answer
    x = 266.54

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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.