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Finding the Fourth Proportional to 452.43, 678.92 and 178.51

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Solution

The fourth proportional to 452.43, 678.92 and 178.51 is: 267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.43 : 678.92 = 178.51 : x
  2. Step 2: Convert to fraction form
    452.43/678.92 = 178.51/x
  3. Step 3: Cross multiply
    452.43x = 678.92 × 178.51
  4. Step 4: Simplify right side
    452.43x = 121,194.01
  5. Step 5: Solve for x
    x = 121,194.01/452.43
  6. Step 6: Final answer
    x = 267.87

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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.