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Finding the Fourth Proportional to 299.63, 450.05 and 178.13

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Solution

The fourth proportional to 299.63, 450.05 and 178.13 is: 267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.63 : 450.05 = 178.13 : x
  2. Step 2: Convert to fraction form
    299.63/450.05 = 178.13/x
  3. Step 3: Cross multiply
    299.63x = 450.05 × 178.13
  4. Step 4: Simplify right side
    299.63x = 80,167.41
  5. Step 5: Solve for x
    x = 80,167.41/299.63
  6. Step 6: Final answer
    x = 267.55

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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.