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Finding the Fourth Proportional to 452.20, 678.32 and 178.24

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Solution

The fourth proportional to 452.20, 678.32 and 178.24 is: 267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.20 : 678.32 = 178.24 : x
  2. Step 2: Convert to fraction form
    452.20/678.32 = 178.24/x
  3. Step 3: Cross multiply
    452.20x = 678.32 × 178.24
  4. Step 4: Simplify right side
    452.20x = 120,903.76
  5. Step 5: Solve for x
    x = 120,903.76/452.20
  6. Step 6: Final answer
    x = 267.37

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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.