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Finding the Fourth Proportional to 299.80, 449.56 and 178.12

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Solution

The fourth proportional to 299.80, 449.56 and 178.12 is: 267.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.80 : 449.56 = 178.12 : x
  2. Step 2: Convert to fraction form
    299.80/449.56 = 178.12/x
  3. Step 3: Cross multiply
    299.80x = 449.56 × 178.12
  4. Step 4: Simplify right side
    299.80x = 80,075.63
  5. Step 5: Solve for x
    x = 80,075.63/299.80
  6. Step 6: Final answer
    x = 267.10

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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.