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Finding the Fourth Proportional to 300.53, 450.70 and 178.63

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Solution

The fourth proportional to 300.53, 450.70 and 178.63 is: 267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.53 : 450.70 = 178.63 : x
  2. Step 2: Convert to fraction form
    300.53/450.70 = 178.63/x
  3. Step 3: Cross multiply
    300.53x = 450.70 × 178.63
  4. Step 4: Simplify right side
    300.53x = 80,506.97
  5. Step 5: Solve for x
    x = 80,506.97/300.53
  6. Step 6: Final answer
    x = 267.88

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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.