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Finding the Fourth Proportional to 299.94, 450.74 and 178.23

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Solution

The fourth proportional to 299.94, 450.74 and 178.23 is: 267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.94 : 450.74 = 178.23 : x
  2. Step 2: Convert to fraction form
    299.94/450.74 = 178.23/x
  3. Step 3: Cross multiply
    299.94x = 450.74 × 178.23
  4. Step 4: Simplify right side
    299.94x = 80,334.50
  5. Step 5: Solve for x
    x = 80,334.50/299.94
  6. Step 6: Final answer
    x = 267.84

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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.