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Finding the Fourth Proportional to 452.66, 678.72 and 178.44

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Solution

The fourth proportional to 452.66, 678.72 and 178.44 is: 267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.66 : 678.72 = 178.44 : x
  2. Step 2: Convert to fraction form
    452.66/678.72 = 178.44/x
  3. Step 3: Cross multiply
    452.66x = 678.72 × 178.44
  4. Step 4: Simplify right side
    452.66x = 121,110.80
  5. Step 5: Solve for x
    x = 121,110.80/452.66
  6. Step 6: Final answer
    x = 267.56

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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.