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Finding the Fourth Proportional to 409.64, 613.82 and 165.80

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Solution

The fourth proportional to 409.64, 613.82 and 165.80 is: 248.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.64 : 613.82 = 165.80 : x
  2. Step 2: Convert to fraction form
    409.64/613.82 = 165.80/x
  3. Step 3: Cross multiply
    409.64x = 613.82 × 165.80
  4. Step 4: Simplify right side
    409.64x = 101,771.36
  5. Step 5: Solve for x
    x = 101,771.36/409.64
  6. Step 6: Final answer
    x = 248.44

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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.