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Finding the Fourth Proportional to 452.34, 678.61 and 178.43

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Solution

The fourth proportional to 452.34, 678.61 and 178.43 is: 267.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.34 : 678.61 = 178.43 : x
  2. Step 2: Convert to fraction form
    452.34/678.61 = 178.43/x
  3. Step 3: Cross multiply
    452.34x = 678.61 × 178.43
  4. Step 4: Simplify right side
    452.34x = 121,087.04
  5. Step 5: Solve for x
    x = 121,087.04/452.34
  6. Step 6: Final answer
    x = 267.69

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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.