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Finding the Fourth Proportional to 409.12, 613.88 and 178.22

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Solution

The fourth proportional to 409.12, 613.88 and 178.22 is: 267.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.12 : 613.88 = 178.22 : x
  2. Step 2: Convert to fraction form
    409.12/613.88 = 178.22/x
  3. Step 3: Cross multiply
    409.12x = 613.88 × 178.22
  4. Step 4: Simplify right side
    409.12x = 109,404.80
  5. Step 5: Solve for x
    x = 109,404.80/409.12
  6. Step 6: Final answer
    x = 267.42

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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.