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Finding the Fourth Proportional to 300.40, 450.02 and 178.76

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Solution

The fourth proportional to 300.40, 450.02 and 178.76 is: 267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.40 : 450.02 = 178.76 : x
  2. Step 2: Convert to fraction form
    300.40/450.02 = 178.76/x
  3. Step 3: Cross multiply
    300.40x = 450.02 × 178.76
  4. Step 4: Simplify right side
    300.40x = 80,445.58
  5. Step 5: Solve for x
    x = 80,445.58/300.40
  6. Step 6: Final answer
    x = 267.79

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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.