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Finding the Fourth Proportional to 409.18, 613.77 and 149.36

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Solution

The fourth proportional to 409.18, 613.77 and 149.36 is: 224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.18 : 613.77 = 149.36 : x
  2. Step 2: Convert to fraction form
    409.18/613.77 = 149.36/x
  3. Step 3: Cross multiply
    409.18x = 613.77 × 149.36
  4. Step 4: Simplify right side
    409.18x = 91,672.69
  5. Step 5: Solve for x
    x = 91,672.69/409.18
  6. Step 6: Final answer
    x = 224.04

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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.