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Finding the Fourth Proportional to 409.21, 613.92 and 178.15

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Solution

The fourth proportional to 409.21, 613.92 and 178.15 is: 267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.21 : 613.92 = 178.15 : x
  2. Step 2: Convert to fraction form
    409.21/613.92 = 178.15/x
  3. Step 3: Cross multiply
    409.21x = 613.92 × 178.15
  4. Step 4: Simplify right side
    409.21x = 109,367.90
  5. Step 5: Solve for x
    x = 109,367.90/409.21
  6. Step 6: Final answer
    x = 267.27

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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.