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Finding the Fourth Proportional to 452.44, 678.65 and 178.21

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Solution

The fourth proportional to 452.44, 678.65 and 178.21 is: 267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.44 : 678.65 = 178.21 : x
  2. Step 2: Convert to fraction form
    452.44/678.65 = 178.21/x
  3. Step 3: Cross multiply
    452.44x = 678.65 × 178.21
  4. Step 4: Simplify right side
    452.44x = 120,940.34
  5. Step 5: Solve for x
    x = 120,940.34/452.44
  6. Step 6: Final answer
    x = 267.31

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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.