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Finding the Fourth Proportional to 300.68, 450.39 and 178.64

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Solution

The fourth proportional to 300.68, 450.39 and 178.64 is: 267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.68 : 450.39 = 178.64 : x
  2. Step 2: Convert to fraction form
    300.68/450.39 = 178.64/x
  3. Step 3: Cross multiply
    300.68x = 450.39 × 178.64
  4. Step 4: Simplify right side
    300.68x = 80,455.42
  5. Step 5: Solve for x
    x = 80,455.42/300.68
  6. Step 6: Final answer
    x = 267.58

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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.